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Finding the Fourth Proportional to 9,259.68, 12,780.72 and 6,071.52

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Solution

The fourth proportional to 9,259.68, 12,780.72 and 6,071.52 is: 8,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.68 : 12,780.72 = 6,071.52 : x
  2. Step 2: Convert to fraction form
    9,259.68/12,780.72 = 6,071.52/x
  3. Step 3: Cross multiply
    9,259.68x = 12,780.72 × 6,071.52
  4. Step 4: Simplify right side
    9,259.68x = 77,598,397.09
  5. Step 5: Solve for x
    x = 77,598,397.09/9,259.68
  6. Step 6: Final answer
    x = 8,380.25

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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.