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Finding the Fourth Proportional to 12,866.04, 17,754.12 and 7,487.64

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Solution

The fourth proportional to 12,866.04, 17,754.12 and 7,487.64 is: 10,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.04 : 17,754.12 = 7,487.64 : x
  2. Step 2: Convert to fraction form
    12,866.04/17,754.12 = 7,487.64/x
  3. Step 3: Cross multiply
    12,866.04x = 17,754.12 × 7,487.64
  4. Step 4: Simplify right side
    12,866.04x = 132,936,459.08
  5. Step 5: Solve for x
    x = 132,936,459.08/12,866.04
  6. Step 6: Final answer
    x = 10,332.35

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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.