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Finding the Fourth Proportional to 15,138.68, 20,890.98 and 8,424.32

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Solution

The fourth proportional to 15,138.68, 20,890.98 and 8,424.32 is: 11,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.68 : 20,890.98 = 8,424.32 : x
  2. Step 2: Convert to fraction form
    15,138.68/20,890.98 = 8,424.32/x
  3. Step 3: Cross multiply
    15,138.68x = 20,890.98 × 8,424.32
  4. Step 4: Simplify right side
    15,138.68x = 175,992,300.63
  5. Step 5: Solve for x
    x = 175,992,300.63/15,138.68
  6. Step 6: Final answer
    x = 11,625.34

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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.