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Finding the Fourth Proportional to 10,957.87, 15,123.80 and 6,484.09

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Solution

The fourth proportional to 10,957.87, 15,123.80 and 6,484.09 is: 8,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.87 : 15,123.80 = 6,484.09 : x
  2. Step 2: Convert to fraction form
    10,957.87/15,123.80 = 6,484.09/x
  3. Step 3: Cross multiply
    10,957.87x = 15,123.80 × 6,484.09
  4. Step 4: Simplify right side
    10,957.87x = 98,064,080.34
  5. Step 5: Solve for x
    x = 98,064,080.34/10,957.87
  6. Step 6: Final answer
    x = 8,949.19

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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.