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Finding the Fourth Proportional to 18,508, 27,762.60 and 4,657

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Solution

The fourth proportional to 18,508, 27,762.60 and 4,657 is: 6,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,508 : 27,762.60 = 4,657 : x
  2. Step 2: Convert to fraction form
    18,508/27,762.60 = 4,657/x
  3. Step 3: Cross multiply
    18,508x = 27,762.60 × 4,657
  4. Step 4: Simplify right side
    18,508x = 129,290,428.20
  5. Step 5: Solve for x
    x = 129,290,428.20/18,508
  6. Step 6: Final answer
    x = 6,985.65

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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.