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Finding the Fourth Proportional to 8,478.71, 11,700.91 and 4,702.24

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Solution

The fourth proportional to 8,478.71, 11,700.91 and 4,702.24 is: 6,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.71 : 11,700.91 = 4,702.24 : x
  2. Step 2: Convert to fraction form
    8,478.71/11,700.91 = 4,702.24/x
  3. Step 3: Cross multiply
    8,478.71x = 11,700.91 × 4,702.24
  4. Step 4: Simplify right side
    8,478.71x = 55,020,487.04
  5. Step 5: Solve for x
    x = 55,020,487.04/8,478.71
  6. Step 6: Final answer
    x = 6,489.25

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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.