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Finding the Fourth Proportional to 15,516, 21,411.90 and 8,442.30

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Solution

The fourth proportional to 15,516, 21,411.90 and 8,442.30 is: 11,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516 : 21,411.90 = 8,442.30 : x
  2. Step 2: Convert to fraction form
    15,516/21,411.90 = 8,442.30/x
  3. Step 3: Cross multiply
    15,516x = 21,411.90 × 8,442.30
  4. Step 4: Simplify right side
    15,516x = 180,765,683.37
  5. Step 5: Solve for x
    x = 180,765,683.37/15,516
  6. Step 6: Final answer
    x = 11,650.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.