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Finding the Fourth Proportional to 15,851.64, 23,775.64 and 4,165.76

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Solution

The fourth proportional to 15,851.64, 23,775.64 and 4,165.76 is: 6,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.64 : 23,775.64 = 4,165.76 : x
  2. Step 2: Convert to fraction form
    15,851.64/23,775.64 = 4,165.76/x
  3. Step 3: Cross multiply
    15,851.64x = 23,775.64 × 4,165.76
  4. Step 4: Simplify right side
    15,851.64x = 99,043,610.09
  5. Step 5: Solve for x
    x = 99,043,610.09/15,851.64
  6. Step 6: Final answer
    x = 6,248.16

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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.