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Finding the Fourth Proportional to 13,860.99, 20,787.75 and 6,458.22

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Solution

The fourth proportional to 13,860.99, 20,787.75 and 6,458.22 is: 9,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.99 : 20,787.75 = 6,458.22 : x
  2. Step 2: Convert to fraction form
    13,860.99/20,787.75 = 6,458.22/x
  3. Step 3: Cross multiply
    13,860.99x = 20,787.75 × 6,458.22
  4. Step 4: Simplify right side
    13,860.99x = 134,251,862.81
  5. Step 5: Solve for x
    x = 134,251,862.81/13,860.99
  6. Step 6: Final answer
    x = 9,685.59

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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.