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Finding the Fourth Proportional to 23,897.68, 32,978.12 and 13,287.12

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Solution

The fourth proportional to 23,897.68, 32,978.12 and 13,287.12 is: 18,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.68 : 32,978.12 = 13,287.12 : x
  2. Step 2: Convert to fraction form
    23,897.68/32,978.12 = 13,287.12/x
  3. Step 3: Cross multiply
    23,897.68x = 32,978.12 × 13,287.12
  4. Step 4: Simplify right side
    23,897.68x = 438,184,237.81
  5. Step 5: Solve for x
    x = 438,184,237.81/23,897.68
  6. Step 6: Final answer
    x = 18,335.85

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1.5x scale

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.