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Finding the Fourth Proportional to 15,515.53, 21,411.52 and 8,442

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Solution

The fourth proportional to 15,515.53, 21,411.52 and 8,442 is: 11,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.53 : 21,411.52 = 8,442 : x
  2. Step 2: Convert to fraction form
    15,515.53/21,411.52 = 8,442/x
  3. Step 3: Cross multiply
    15,515.53x = 21,411.52 × 8,442
  4. Step 4: Simplify right side
    15,515.53x = 180,756,051.84
  5. Step 5: Solve for x
    x = 180,756,051.84/15,515.53
  6. Step 6: Final answer
    x = 11,650.01

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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.