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Finding the Fourth Proportional to 9,283.12, 12,809.52 and 5,304.49

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Solution

The fourth proportional to 9,283.12, 12,809.52 and 5,304.49 is: 7,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.12 : 12,809.52 = 5,304.49 : x
  2. Step 2: Convert to fraction form
    9,283.12/12,809.52 = 5,304.49/x
  3. Step 3: Cross multiply
    9,283.12x = 12,809.52 × 5,304.49
  4. Step 4: Simplify right side
    9,283.12x = 67,947,970.74
  5. Step 5: Solve for x
    x = 67,947,970.74/9,283.12
  6. Step 6: Final answer
    x = 7,319.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.