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Finding the Fourth Proportional to 9,209.52, 12,718.14 and 7,875.48

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Solution

The fourth proportional to 9,209.52, 12,718.14 and 7,875.48 is: 10,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.52 : 12,718.14 = 7,875.48 : x
  2. Step 2: Convert to fraction form
    9,209.52/12,718.14 = 7,875.48/x
  3. Step 3: Cross multiply
    9,209.52x = 12,718.14 × 7,875.48
  4. Step 4: Simplify right side
    9,209.52x = 100,161,457.21
  5. Step 5: Solve for x
    x = 100,161,457.21/9,209.52
  6. Step 6: Final answer
    x = 10,875.86

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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.