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Finding the Fourth Proportional to 7,695.60, 10,611.18 and 6,277.74

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Solution

The fourth proportional to 7,695.60, 10,611.18 and 6,277.74 is: 8,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.60 : 10,611.18 = 6,277.74 : x
  2. Step 2: Convert to fraction form
    7,695.60/10,611.18 = 6,277.74/x
  3. Step 3: Cross multiply
    7,695.60x = 10,611.18 × 6,277.74
  4. Step 4: Simplify right side
    7,695.60x = 66,614,229.13
  5. Step 5: Solve for x
    x = 66,614,229.13/7,695.60
  6. Step 6: Final answer
    x = 8,656.14

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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.