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Finding the Fourth Proportional to 9,876.57, 13,630.94 and 5,629.18

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Solution

The fourth proportional to 9,876.57, 13,630.94 and 5,629.18 is: 7,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.57 : 13,630.94 = 5,629.18 : x
  2. Step 2: Convert to fraction form
    9,876.57/13,630.94 = 5,629.18/x
  3. Step 3: Cross multiply
    9,876.57x = 13,630.94 × 5,629.18
  4. Step 4: Simplify right side
    9,876.57x = 76,730,960.75
  5. Step 5: Solve for x
    x = 76,730,960.75/9,876.57
  6. Step 6: Final answer
    x = 7,768.99

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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.