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Finding the Fourth Proportional to 3,065.52, 4,228.80 and 2,319.50

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Solution

The fourth proportional to 3,065.52, 4,228.80 and 2,319.50 is: 3,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.52 : 4,228.80 = 2,319.50 : x
  2. Step 2: Convert to fraction form
    3,065.52/4,228.80 = 2,319.50/x
  3. Step 3: Cross multiply
    3,065.52x = 4,228.80 × 2,319.50
  4. Step 4: Simplify right side
    3,065.52x = 9,808,701.60
  5. Step 5: Solve for x
    x = 9,808,701.60/3,065.52
  6. Step 6: Final answer
    x = 3,199.69

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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.