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Finding the Fourth Proportional to 23,897.55, 32,978.64 and 13,287.18

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Solution

The fourth proportional to 23,897.55, 32,978.64 and 13,287.18 is: 18,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.55 : 32,978.64 = 13,287.18 : x
  2. Step 2: Convert to fraction form
    23,897.55/32,978.64 = 13,287.18/x
  3. Step 3: Cross multiply
    23,897.55x = 32,978.64 × 13,287.18
  4. Step 4: Simplify right side
    23,897.55x = 438,193,125.84
  5. Step 5: Solve for x
    x = 438,193,125.84/23,897.55
  6. Step 6: Final answer
    x = 18,336.32

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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.