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Finding the Fourth Proportional to 15,516, 21,412.35 and 8,442.54

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Solution

The fourth proportional to 15,516, 21,412.35 and 8,442.54 is: 11,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516 : 21,412.35 = 8,442.54 : x
  2. Step 2: Convert to fraction form
    15,516/21,412.35 = 8,442.54/x
  3. Step 3: Cross multiply
    15,516x = 21,412.35 × 8,442.54
  4. Step 4: Simplify right side
    15,516x = 180,774,621.37
  5. Step 5: Solve for x
    x = 180,774,621.37/15,516
  6. Step 6: Final answer
    x = 11,650.85

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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.