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Finding the Fourth Proportional to 11,957.76, 17,946 and 8,285.76

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Solution

The fourth proportional to 11,957.76, 17,946 and 8,285.76 is: 12,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.76 : 17,946 = 8,285.76 : x
  2. Step 2: Convert to fraction form
    11,957.76/17,946 = 8,285.76/x
  3. Step 3: Cross multiply
    11,957.76x = 17,946 × 8,285.76
  4. Step 4: Simplify right side
    11,957.76x = 148,696,248.96
  5. Step 5: Solve for x
    x = 148,696,248.96/11,957.76
  6. Step 6: Final answer
    x = 12,435.13

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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.