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Finding the Fourth Proportional to 12,812.55, 17,681.49 and 7,506.33

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Solution

The fourth proportional to 12,812.55, 17,681.49 and 7,506.33 is: 10,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.55 : 17,681.49 = 7,506.33 : x
  2. Step 2: Convert to fraction form
    12,812.55/17,681.49 = 7,506.33/x
  3. Step 3: Cross multiply
    12,812.55x = 17,681.49 × 7,506.33
  4. Step 4: Simplify right side
    12,812.55x = 132,723,098.83
  5. Step 5: Solve for x
    x = 132,723,098.83/12,812.55
  6. Step 6: Final answer
    x = 10,358.84

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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.