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Finding the Fourth Proportional to 15,965.12, 22,031.64 and 8,891.60

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Solution

The fourth proportional to 15,965.12, 22,031.64 and 8,891.60 is: 12,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.12 : 22,031.64 = 8,891.60 : x
  2. Step 2: Convert to fraction form
    15,965.12/22,031.64 = 8,891.60/x
  3. Step 3: Cross multiply
    15,965.12x = 22,031.64 × 8,891.60
  4. Step 4: Simplify right side
    15,965.12x = 195,896,420.07
  5. Step 5: Solve for x
    x = 195,896,420.07/15,965.12
  6. Step 6: Final answer
    x = 12,270.28

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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.