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Finding the Fourth Proportional to 12,287.56, 16,957.14 and 7,574.92

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Solution

The fourth proportional to 12,287.56, 16,957.14 and 7,574.92 is: 10,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.56 : 16,957.14 = 7,574.92 : x
  2. Step 2: Convert to fraction form
    12,287.56/16,957.14 = 7,574.92/x
  3. Step 3: Cross multiply
    12,287.56x = 16,957.14 × 7,574.92
  4. Step 4: Simplify right side
    12,287.56x = 128,448,978.93
  5. Step 5: Solve for x
    x = 128,448,978.93/12,287.56
  6. Step 6: Final answer
    x = 10,453.58

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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.