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Finding the Fourth Proportional to 10,439, 14,407.04 and 5,963.40

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Solution

The fourth proportional to 10,439, 14,407.04 and 5,963.40 is: 8,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439 : 14,407.04 = 5,963.40 : x
  2. Step 2: Convert to fraction form
    10,439/14,407.04 = 5,963.40/x
  3. Step 3: Cross multiply
    10,439x = 14,407.04 × 5,963.40
  4. Step 4: Simplify right side
    10,439x = 85,914,942.34
  5. Step 5: Solve for x
    x = 85,914,942.34/10,439
  6. Step 6: Final answer
    x = 8,230.19

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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.