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Finding the Fourth Proportional to 15,120.40, 20,866.50 and 8,405.77

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Solution

The fourth proportional to 15,120.40, 20,866.50 and 8,405.77 is: 11,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.40 : 20,866.50 = 8,405.77 : x
  2. Step 2: Convert to fraction form
    15,120.40/20,866.50 = 8,405.77/x
  3. Step 3: Cross multiply
    15,120.40x = 20,866.50 × 8,405.77
  4. Step 4: Simplify right side
    15,120.40x = 175,398,999.71
  5. Step 5: Solve for x
    x = 175,398,999.71/15,120.40
  6. Step 6: Final answer
    x = 11,600.16

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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.