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Finding the Fourth Proportional to 10,140.78, 13,995 and 5,893.20

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Solution

The fourth proportional to 10,140.78, 13,995 and 5,893.20 is: 8,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.78 : 13,995 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    10,140.78/13,995 = 5,893.20/x
  3. Step 3: Cross multiply
    10,140.78x = 13,995 × 5,893.20
  4. Step 4: Simplify right side
    10,140.78x = 82,475,334
  5. Step 5: Solve for x
    x = 82,475,334/10,140.78
  6. Step 6: Final answer
    x = 8,133.04

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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.