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Finding the Fourth Proportional to 15,889.16, 21,926.76 and 8,815.46

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Solution

The fourth proportional to 15,889.16, 21,926.76 and 8,815.46 is: 12,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.16 : 21,926.76 = 8,815.46 : x
  2. Step 2: Convert to fraction form
    15,889.16/21,926.76 = 8,815.46/x
  3. Step 3: Cross multiply
    15,889.16x = 21,926.76 × 8,815.46
  4. Step 4: Simplify right side
    15,889.16x = 193,294,475.71
  5. Step 5: Solve for x
    x = 193,294,475.71/15,889.16
  6. Step 6: Final answer
    x = 12,165.18

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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.