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Finding the Fourth Proportional to 9,134.78, 13,701.10 and 2,561.50

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Solution

The fourth proportional to 9,134.78, 13,701.10 and 2,561.50 is: 3,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.78 : 13,701.10 = 2,561.50 : x
  2. Step 2: Convert to fraction form
    9,134.78/13,701.10 = 2,561.50/x
  3. Step 3: Cross multiply
    9,134.78x = 13,701.10 × 2,561.50
  4. Step 4: Simplify right side
    9,134.78x = 35,095,292.74
  5. Step 5: Solve for x
    x = 35,095,292.74/9,134.78
  6. Step 6: Final answer
    x = 3,841.94

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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.