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Finding the Fourth Proportional to 10,480.38, 14,463 and 5,764.68

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Solution

The fourth proportional to 10,480.38, 14,463 and 5,764.68 is: 7,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.38 : 14,463 = 5,764.68 : x
  2. Step 2: Convert to fraction form
    10,480.38/14,463 = 5,764.68/x
  3. Step 3: Cross multiply
    10,480.38x = 14,463 × 5,764.68
  4. Step 4: Simplify right side
    10,480.38x = 83,374,566.84
  5. Step 5: Solve for x
    x = 83,374,566.84/10,480.38
  6. Step 6: Final answer
    x = 7,955.30

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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.