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Finding the Fourth Proportional to 15,193.80, 22,783.86 and 6,424.20

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Solution

The fourth proportional to 15,193.80, 22,783.86 and 6,424.20 is: 9,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.80 : 22,783.86 = 6,424.20 : x
  2. Step 2: Convert to fraction form
    15,193.80/22,783.86 = 6,424.20/x
  3. Step 3: Cross multiply
    15,193.80x = 22,783.86 × 6,424.20
  4. Step 4: Simplify right side
    15,193.80x = 146,368,073.41
  5. Step 5: Solve for x
    x = 146,368,073.41/15,193.80
  6. Step 6: Final answer
    x = 9,633.41

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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.