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Finding the Fourth Proportional to 7,897.92, 11,838.24 and 4,977.60

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Solution

The fourth proportional to 7,897.92, 11,838.24 and 4,977.60 is: 7,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.92 : 11,838.24 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    7,897.92/11,838.24 = 4,977.60/x
  3. Step 3: Cross multiply
    7,897.92x = 11,838.24 × 4,977.60
  4. Step 4: Simplify right side
    7,897.92x = 58,926,023.42
  5. Step 5: Solve for x
    x = 58,926,023.42/7,897.92
  6. Step 6: Final answer
    x = 7,460.95

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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.