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Finding the Fourth Proportional to 9,874.36, 13,628.10 and 5,681.80

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Solution

The fourth proportional to 9,874.36, 13,628.10 and 5,681.80 is: 7,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.36 : 13,628.10 = 5,681.80 : x
  2. Step 2: Convert to fraction form
    9,874.36/13,628.10 = 5,681.80/x
  3. Step 3: Cross multiply
    9,874.36x = 13,628.10 × 5,681.80
  4. Step 4: Simplify right side
    9,874.36x = 77,432,138.58
  5. Step 5: Solve for x
    x = 77,432,138.58/9,874.36
  6. Step 6: Final answer
    x = 7,841.74

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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.