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Finding the Fourth Proportional to 8,715.40, 13,070.50 and 2,475.93

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Solution

The fourth proportional to 8,715.40, 13,070.50 and 2,475.93 is: 3,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.40 : 13,070.50 = 2,475.93 : x
  2. Step 2: Convert to fraction form
    8,715.40/13,070.50 = 2,475.93/x
  3. Step 3: Cross multiply
    8,715.40x = 13,070.50 × 2,475.93
  4. Step 4: Simplify right side
    8,715.40x = 32,361,685.89
  5. Step 5: Solve for x
    x = 32,361,685.89/8,715.40
  6. Step 6: Final answer
    x = 3,713.16

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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.