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Finding the Fourth Proportional to 34,103.40, 51,157.62 and 9,143.40

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Solution

The fourth proportional to 34,103.40, 51,157.62 and 9,143.40 is: 13,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,103.40 : 51,157.62 = 9,143.40 : x
  2. Step 2: Convert to fraction form
    34,103.40/51,157.62 = 9,143.40/x
  3. Step 3: Cross multiply
    34,103.40x = 51,157.62 × 9,143.40
  4. Step 4: Simplify right side
    34,103.40x = 467,754,582.71
  5. Step 5: Solve for x
    x = 467,754,582.71/34,103.40
  6. Step 6: Final answer
    x = 13,715.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.