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Finding the Fourth Proportional to 9,282, 12,809.20 and 5,556

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Solution

The fourth proportional to 9,282, 12,809.20 and 5,556 is: 7,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 12,809.20 = 5,556 : x
  2. Step 2: Convert to fraction form
    9,282/12,809.20 = 5,556/x
  3. Step 3: Cross multiply
    9,282x = 12,809.20 × 5,556
  4. Step 4: Simplify right side
    9,282x = 71,167,915.20
  5. Step 5: Solve for x
    x = 71,167,915.20/9,282
  6. Step 6: Final answer
    x = 7,667.30

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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.