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Finding the Fourth Proportional to 18,842, 26,002.77 and 10,458.50

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Solution

The fourth proportional to 18,842, 26,002.77 and 10,458.50 is: 14,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842 : 26,002.77 = 10,458.50 : x
  2. Step 2: Convert to fraction form
    18,842/26,002.77 = 10,458.50/x
  3. Step 3: Cross multiply
    18,842x = 26,002.77 × 10,458.50
  4. Step 4: Simplify right side
    18,842x = 271,949,970.05
  5. Step 5: Solve for x
    x = 271,949,970.05/18,842
  6. Step 6: Final answer
    x = 14,433.18

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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.