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Finding the Fourth Proportional to 12,812.69, 17,681.51 and 7,223.69

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Solution

The fourth proportional to 12,812.69, 17,681.51 and 7,223.69 is: 9,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.69 : 17,681.51 = 7,223.69 : x
  2. Step 2: Convert to fraction form
    12,812.69/17,681.51 = 7,223.69/x
  3. Step 3: Cross multiply
    12,812.69x = 17,681.51 × 7,223.69
  4. Step 4: Simplify right side
    12,812.69x = 127,725,746.97
  5. Step 5: Solve for x
    x = 127,725,746.97/12,812.69
  6. Step 6: Final answer
    x = 9,968.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.