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Finding the Fourth Proportional to 10,242.76, 14,128.44 and 7,098.34

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Solution

The fourth proportional to 10,242.76, 14,128.44 and 7,098.34 is: 9,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.76 : 14,128.44 = 7,098.34 : x
  2. Step 2: Convert to fraction form
    10,242.76/14,128.44 = 7,098.34/x
  3. Step 3: Cross multiply
    10,242.76x = 14,128.44 × 7,098.34
  4. Step 4: Simplify right side
    10,242.76x = 100,288,470.79
  5. Step 5: Solve for x
    x = 100,288,470.79/10,242.76
  6. Step 6: Final answer
    x = 9,791.16

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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.