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Finding the Fourth Proportional to 11,555.68, 15,948.72 and 8,591.20

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Solution

The fourth proportional to 11,555.68, 15,948.72 and 8,591.20 is: 11,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.68 : 15,948.72 = 8,591.20 : x
  2. Step 2: Convert to fraction form
    11,555.68/15,948.72 = 8,591.20/x
  3. Step 3: Cross multiply
    11,555.68x = 15,948.72 × 8,591.20
  4. Step 4: Simplify right side
    11,555.68x = 137,018,643.26
  5. Step 5: Solve for x
    x = 137,018,643.26/11,555.68
  6. Step 6: Final answer
    x = 11,857.25

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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.