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Finding the Fourth Proportional to 9,900.76, 13,657.86 and 6,122.72

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Solution

The fourth proportional to 9,900.76, 13,657.86 and 6,122.72 is: 8,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.76 : 13,657.86 = 6,122.72 : x
  2. Step 2: Convert to fraction form
    9,900.76/13,657.86 = 6,122.72/x
  3. Step 3: Cross multiply
    9,900.76x = 13,657.86 × 6,122.72
  4. Step 4: Simplify right side
    9,900.76x = 83,623,252.58
  5. Step 5: Solve for x
    x = 83,623,252.58/9,900.76
  6. Step 6: Final answer
    x = 8,446.14

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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.