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Finding the Fourth Proportional to 13,802.60, 20,687.70 and 6,391.42

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Solution

The fourth proportional to 13,802.60, 20,687.70 and 6,391.42 is: 9,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.60 : 20,687.70 = 6,391.42 : x
  2. Step 2: Convert to fraction form
    13,802.60/20,687.70 = 6,391.42/x
  3. Step 3: Cross multiply
    13,802.60x = 20,687.70 × 6,391.42
  4. Step 4: Simplify right side
    13,802.60x = 132,223,779.53
  5. Step 5: Solve for x
    x = 132,223,779.53/13,802.60
  6. Step 6: Final answer
    x = 9,579.63

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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.