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Finding the Fourth Proportional to 5,587.40, 8,381 and 4,715.50

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Solution

The fourth proportional to 5,587.40, 8,381 and 4,715.50 is: 7,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.40 : 8,381 = 4,715.50 : x
  2. Step 2: Convert to fraction form
    5,587.40/8,381 = 4,715.50/x
  3. Step 3: Cross multiply
    5,587.40x = 8,381 × 4,715.50
  4. Step 4: Simplify right side
    5,587.40x = 39,520,605.50
  5. Step 5: Solve for x
    x = 39,520,605.50/5,587.40
  6. Step 6: Final answer
    x = 7,073.17

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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.