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Finding the Fourth Proportional to 15,915.61, 23,876 and 5,386.27

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Solution

The fourth proportional to 15,915.61, 23,876 and 5,386.27 is: 8,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.61 : 23,876 = 5,386.27 : x
  2. Step 2: Convert to fraction form
    15,915.61/23,876 = 5,386.27/x
  3. Step 3: Cross multiply
    15,915.61x = 23,876 × 5,386.27
  4. Step 4: Simplify right side
    15,915.61x = 128,602,582.52
  5. Step 5: Solve for x
    x = 128,602,582.52/15,915.61
  6. Step 6: Final answer
    x = 8,080.28

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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.