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Finding the Fourth Proportional to 15,120.16, 20,866.05 and 8,406.07

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Solution

The fourth proportional to 15,120.16, 20,866.05 and 8,406.07 is: 11,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.16 : 20,866.05 = 8,406.07 : x
  2. Step 2: Convert to fraction form
    15,120.16/20,866.05 = 8,406.07/x
  3. Step 3: Cross multiply
    15,120.16x = 20,866.05 × 8,406.07
  4. Step 4: Simplify right side
    15,120.16x = 175,401,476.92
  5. Step 5: Solve for x
    x = 175,401,476.92/15,120.16
  6. Step 6: Final answer
    x = 11,600.50

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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.