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Finding the Fourth Proportional to 10,946.60, 15,101.06 and 7,957.80

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Solution

The fourth proportional to 10,946.60, 15,101.06 and 7,957.80 is: 10,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.60 : 15,101.06 = 7,957.80 : x
  2. Step 2: Convert to fraction form
    10,946.60/15,101.06 = 7,957.80/x
  3. Step 3: Cross multiply
    10,946.60x = 15,101.06 × 7,957.80
  4. Step 4: Simplify right side
    10,946.60x = 120,171,215.27
  5. Step 5: Solve for x
    x = 120,171,215.27/10,946.60
  6. Step 6: Final answer
    x = 10,977.95

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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.