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Finding the Fourth Proportional to 10,516, 15,774 and 5,899.36

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Solution

The fourth proportional to 10,516, 15,774 and 5,899.36 is: 8,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 15,774 = 5,899.36 : x
  2. Step 2: Convert to fraction form
    10,516/15,774 = 5,899.36/x
  3. Step 3: Cross multiply
    10,516x = 15,774 × 5,899.36
  4. Step 4: Simplify right side
    10,516x = 93,056,504.64
  5. Step 5: Solve for x
    x = 93,056,504.64/10,516
  6. Step 6: Final answer
    x = 8,849.04

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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.