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Finding the Fourth Proportional to 10,398.86, 14,353.85 and 8,278.28

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Solution

The fourth proportional to 10,398.86, 14,353.85 and 8,278.28 is: 11,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.86 : 14,353.85 = 8,278.28 : x
  2. Step 2: Convert to fraction form
    10,398.86/14,353.85 = 8,278.28/x
  3. Step 3: Cross multiply
    10,398.86x = 14,353.85 × 8,278.28
  4. Step 4: Simplify right side
    10,398.86x = 118,825,189.38
  5. Step 5: Solve for x
    x = 118,825,189.38/10,398.86
  6. Step 6: Final answer
    x = 11,426.75

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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.