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Finding the Fourth Proportional to 5,307.76, 7,946.88 and 3,193.12

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Solution

The fourth proportional to 5,307.76, 7,946.88 and 3,193.12 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.76 : 7,946.88 = 3,193.12 : x
  2. Step 2: Convert to fraction form
    5,307.76/7,946.88 = 3,193.12/x
  3. Step 3: Cross multiply
    5,307.76x = 7,946.88 × 3,193.12
  4. Step 4: Simplify right side
    5,307.76x = 25,375,341.47
  5. Step 5: Solve for x
    x = 25,375,341.47/5,307.76
  6. Step 6: Final answer
    x = 4,780.80

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1.5x scale

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.