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Finding the Fourth Proportional to 10,516, 15,774 and 4,672.16

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Solution

The fourth proportional to 10,516, 15,774 and 4,672.16 is: 7,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516 : 15,774 = 4,672.16 : x
  2. Step 2: Convert to fraction form
    10,516/15,774 = 4,672.16/x
  3. Step 3: Cross multiply
    10,516x = 15,774 × 4,672.16
  4. Step 4: Simplify right side
    10,516x = 73,698,651.84
  5. Step 5: Solve for x
    x = 73,698,651.84/10,516
  6. Step 6: Final answer
    x = 7,008.24

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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.