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Finding the Fourth Proportional to 12,812.81, 17,681.69 and 7,223.81

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Solution

The fourth proportional to 12,812.81, 17,681.69 and 7,223.81 is: 9,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.81 : 17,681.69 = 7,223.81 : x
  2. Step 2: Convert to fraction form
    12,812.81/17,681.69 = 7,223.81/x
  3. Step 3: Cross multiply
    12,812.81x = 17,681.69 × 7,223.81
  4. Step 4: Simplify right side
    12,812.81x = 127,729,177.12
  5. Step 5: Solve for x
    x = 127,729,177.12/12,812.81
  6. Step 6: Final answer
    x = 9,968.86

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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.