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Finding the Fourth Proportional to 10,516, 15,759.84 and 5,580.40

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Solution

The fourth proportional to 10,516, 15,759.84 and 5,580.40 is: 8,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 15,759.84 = 5,580.40 : x
  2. Step 2: Convert to fraction form
    10,516/15,759.84 = 5,580.40/x
  3. Step 3: Cross multiply
    10,516x = 15,759.84 × 5,580.40
  4. Step 4: Simplify right side
    10,516x = 87,946,211.14
  5. Step 5: Solve for x
    x = 87,946,211.14/10,516
  6. Step 6: Final answer
    x = 8,363.09

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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.