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Finding the Fourth Proportional to 14,138.48, 19,510.98 and 7,850.42

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Solution

The fourth proportional to 14,138.48, 19,510.98 and 7,850.42 is: 10,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.48 : 19,510.98 = 7,850.42 : x
  2. Step 2: Convert to fraction form
    14,138.48/19,510.98 = 7,850.42/x
  3. Step 3: Cross multiply
    14,138.48x = 19,510.98 × 7,850.42
  4. Step 4: Simplify right side
    14,138.48x = 153,169,387.61
  5. Step 5: Solve for x
    x = 153,169,387.61/14,138.48
  6. Step 6: Final answer
    x = 10,833.51

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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.