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Finding the Fourth Proportional to 7,718.80, 11,597.20 and 4,946.64

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Solution

The fourth proportional to 7,718.80, 11,597.20 and 4,946.64 is: 7,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.80 : 11,597.20 = 4,946.64 : x
  2. Step 2: Convert to fraction form
    7,718.80/11,597.20 = 4,946.64/x
  3. Step 3: Cross multiply
    7,718.80x = 11,597.20 × 4,946.64
  4. Step 4: Simplify right side
    7,718.80x = 57,367,173.41
  5. Step 5: Solve for x
    x = 57,367,173.41/7,718.80
  6. Step 6: Final answer
    x = 7,432.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.