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Finding the Fourth Proportional to 15,494.77, 21,382.92 and 8,421.20

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Solution

The fourth proportional to 15,494.77, 21,382.92 and 8,421.20 is: 11,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.77 : 21,382.92 = 8,421.20 : x
  2. Step 2: Convert to fraction form
    15,494.77/21,382.92 = 8,421.20/x
  3. Step 3: Cross multiply
    15,494.77x = 21,382.92 × 8,421.20
  4. Step 4: Simplify right side
    15,494.77x = 180,069,696.88
  5. Step 5: Solve for x
    x = 180,069,696.88/15,494.77
  6. Step 6: Final answer
    x = 11,621.32

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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.