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Finding the Fourth Proportional to 15,138.16, 20,890.76 and 8,424.07

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Solution

The fourth proportional to 15,138.16, 20,890.76 and 8,424.07 is: 11,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.16 : 20,890.76 = 8,424.07 : x
  2. Step 2: Convert to fraction form
    15,138.16/20,890.76 = 8,424.07/x
  3. Step 3: Cross multiply
    15,138.16x = 20,890.76 × 8,424.07
  4. Step 4: Simplify right side
    15,138.16x = 175,985,224.59
  5. Step 5: Solve for x
    x = 175,985,224.59/15,138.16
  6. Step 6: Final answer
    x = 11,625.27

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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.