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Finding the Fourth Proportional to 10,648.53, 14,687.16 and 6,869.78

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Solution

The fourth proportional to 10,648.53, 14,687.16 and 6,869.78 is: 9,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.53 : 14,687.16 = 6,869.78 : x
  2. Step 2: Convert to fraction form
    10,648.53/14,687.16 = 6,869.78/x
  3. Step 3: Cross multiply
    10,648.53x = 14,687.16 × 6,869.78
  4. Step 4: Simplify right side
    10,648.53x = 100,897,558.02
  5. Step 5: Solve for x
    x = 100,897,558.02/10,648.53
  6. Step 6: Final answer
    x = 9,475.26

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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.