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Finding the Fourth Proportional to 10,140.12, 13,978 and 7,898.04

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Solution

The fourth proportional to 10,140.12, 13,978 and 7,898.04 is: 10,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.12 : 13,978 = 7,898.04 : x
  2. Step 2: Convert to fraction form
    10,140.12/13,978 = 7,898.04/x
  3. Step 3: Cross multiply
    10,140.12x = 13,978 × 7,898.04
  4. Step 4: Simplify right side
    10,140.12x = 110,398,803.12
  5. Step 5: Solve for x
    x = 110,398,803.12/10,140.12
  6. Step 6: Final answer
    x = 10,887.33

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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.