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Finding the Fourth Proportional to 9,191.61, 13,807.91 and 5,684.20

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Solution

The fourth proportional to 9,191.61, 13,807.91 and 5,684.20 is: 8,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.61 : 13,807.91 = 5,684.20 : x
  2. Step 2: Convert to fraction form
    9,191.61/13,807.91 = 5,684.20/x
  3. Step 3: Cross multiply
    9,191.61x = 13,807.91 × 5,684.20
  4. Step 4: Simplify right side
    9,191.61x = 78,486,901.71
  5. Step 5: Solve for x
    x = 78,486,901.71/9,191.61
  6. Step 6: Final answer
    x = 8,538.97

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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.