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Finding the Fourth Proportional to 5,615.70, 8,411.40 and 5,000.10

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Solution

The fourth proportional to 5,615.70, 8,411.40 and 5,000.10 is: 7,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.70 : 8,411.40 = 5,000.10 : x
  2. Step 2: Convert to fraction form
    5,615.70/8,411.40 = 5,000.10/x
  3. Step 3: Cross multiply
    5,615.70x = 8,411.40 × 5,000.10
  4. Step 4: Simplify right side
    5,615.70x = 42,057,841.14
  5. Step 5: Solve for x
    x = 42,057,841.14/5,615.70
  6. Step 6: Final answer
    x = 7,489.33

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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.