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Finding the Fourth Proportional to 15,985.64, 23,978.46 and 5,600.36

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Solution

The fourth proportional to 15,985.64, 23,978.46 and 5,600.36 is: 8,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.64 : 23,978.46 = 5,600.36 : x
  2. Step 2: Convert to fraction form
    15,985.64/23,978.46 = 5,600.36/x
  3. Step 3: Cross multiply
    15,985.64x = 23,978.46 × 5,600.36
  4. Step 4: Simplify right side
    15,985.64x = 134,288,008.25
  5. Step 5: Solve for x
    x = 134,288,008.25/15,985.64
  6. Step 6: Final answer
    x = 8,400.54

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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.