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Finding the Fourth Proportional to 15,123.71, 20,870.74 and 8,409.27

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Solution

The fourth proportional to 15,123.71, 20,870.74 and 8,409.27 is: 11,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.71 : 20,870.74 = 8,409.27 : x
  2. Step 2: Convert to fraction form
    15,123.71/20,870.74 = 8,409.27/x
  3. Step 3: Cross multiply
    15,123.71x = 20,870.74 × 8,409.27
  4. Step 4: Simplify right side
    15,123.71x = 175,507,687.76
  5. Step 5: Solve for x
    x = 175,507,687.76/15,123.71
  6. Step 6: Final answer
    x = 11,604.80

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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.