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Finding the Fourth Proportional to 9,262, 12,782.04 and 5,282.28

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Solution

The fourth proportional to 9,262, 12,782.04 and 5,282.28 is: 7,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262 : 12,782.04 = 5,282.28 : x
  2. Step 2: Convert to fraction form
    9,262/12,782.04 = 5,282.28/x
  3. Step 3: Cross multiply
    9,262x = 12,782.04 × 5,282.28
  4. Step 4: Simplify right side
    9,262x = 67,518,314.25
  5. Step 5: Solve for x
    x = 67,518,314.25/9,262
  6. Step 6: Final answer
    x = 7,289.82

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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.