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Finding the Fourth Proportional to 9,917.20, 14,875.80 and 9,261.10

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Solution

The fourth proportional to 9,917.20, 14,875.80 and 9,261.10 is: 13,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.20 : 14,875.80 = 9,261.10 : x
  2. Step 2: Convert to fraction form
    9,917.20/14,875.80 = 9,261.10/x
  3. Step 3: Cross multiply
    9,917.20x = 14,875.80 × 9,261.10
  4. Step 4: Simplify right side
    9,917.20x = 137,766,271.38
  5. Step 5: Solve for x
    x = 137,766,271.38/9,917.20
  6. Step 6: Final answer
    x = 13,891.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.