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Finding the Fourth Proportional to 9,880.76, 13,640.39 and 7,637.55

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Solution

The fourth proportional to 9,880.76, 13,640.39 and 7,637.55 is: 10,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.76 : 13,640.39 = 7,637.55 : x
  2. Step 2: Convert to fraction form
    9,880.76/13,640.39 = 7,637.55/x
  3. Step 3: Cross multiply
    9,880.76x = 13,640.39 × 7,637.55
  4. Step 4: Simplify right side
    9,880.76x = 104,179,122.46
  5. Step 5: Solve for x
    x = 104,179,122.46/9,880.76
  6. Step 6: Final answer
    x = 10,543.64

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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.