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Finding the Fourth Proportional to 14,794.40, 20,411.28 and 9,123.20

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Solution

The fourth proportional to 14,794.40, 20,411.28 and 9,123.20 is: 12,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.40 : 20,411.28 = 9,123.20 : x
  2. Step 2: Convert to fraction form
    14,794.40/20,411.28 = 9,123.20/x
  3. Step 3: Cross multiply
    14,794.40x = 20,411.28 × 9,123.20
  4. Step 4: Simplify right side
    14,794.40x = 186,216,189.70
  5. Step 5: Solve for x
    x = 186,216,189.70/14,794.40
  6. Step 6: Final answer
    x = 12,586.94

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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.