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Finding the Fourth Proportional to 17,670.80, 26,503 and 10,289.72

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Solution

The fourth proportional to 17,670.80, 26,503 and 10,289.72 is: 15,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.80 : 26,503 = 10,289.72 : x
  2. Step 2: Convert to fraction form
    17,670.80/26,503 = 10,289.72/x
  3. Step 3: Cross multiply
    17,670.80x = 26,503 × 10,289.72
  4. Step 4: Simplify right side
    17,670.80x = 272,708,449.16
  5. Step 5: Solve for x
    x = 272,708,449.16/17,670.80
  6. Step 6: Final answer
    x = 15,432.72

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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.