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Finding the Fourth Proportional to 32,889, 45,387.90 and 17,985

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Solution

The fourth proportional to 32,889, 45,387.90 and 17,985 is: 24,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889 : 45,387.90 = 17,985 : x
  2. Step 2: Convert to fraction form
    32,889/45,387.90 = 17,985/x
  3. Step 3: Cross multiply
    32,889x = 45,387.90 × 17,985
  4. Step 4: Simplify right side
    32,889x = 816,301,381.50
  5. Step 5: Solve for x
    x = 816,301,381.50/32,889
  6. Step 6: Final answer
    x = 24,819.89

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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.