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Finding the Fourth Proportional to 10,435.74, 14,404 and 6,454.50

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Solution

The fourth proportional to 10,435.74, 14,404 and 6,454.50 is: 8,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.74 : 14,404 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    10,435.74/14,404 = 6,454.50/x
  3. Step 3: Cross multiply
    10,435.74x = 14,404 × 6,454.50
  4. Step 4: Simplify right side
    10,435.74x = 92,970,618
  5. Step 5: Solve for x
    x = 92,970,618/10,435.74
  6. Step 6: Final answer
    x = 8,908.87

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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.