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Finding the Fourth Proportional to 9,772.60, 13,490.22 and 6,981.88

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Solution

The fourth proportional to 9,772.60, 13,490.22 and 6,981.88 is: 9,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.60 : 13,490.22 = 6,981.88 : x
  2. Step 2: Convert to fraction form
    9,772.60/13,490.22 = 6,981.88/x
  3. Step 3: Cross multiply
    9,772.60x = 13,490.22 × 6,981.88
  4. Step 4: Simplify right side
    9,772.60x = 94,187,097.21
  5. Step 5: Solve for x
    x = 94,187,097.21/9,772.60
  6. Step 6: Final answer
    x = 9,637.87

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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.