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Finding the Fourth Proportional to 9,221.76, 12,725.90 and 5,030

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Solution

The fourth proportional to 9,221.76, 12,725.90 and 5,030 is: 6,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.76 : 12,725.90 = 5,030 : x
  2. Step 2: Convert to fraction form
    9,221.76/12,725.90 = 5,030/x
  3. Step 3: Cross multiply
    9,221.76x = 12,725.90 × 5,030
  4. Step 4: Simplify right side
    9,221.76x = 64,011,277
  5. Step 5: Solve for x
    x = 64,011,277/9,221.76
  6. Step 6: Final answer
    x = 6,941.33

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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.