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Finding the Fourth Proportional to 2,320.80, 3,482.42 and 1,023.16

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Solution

The fourth proportional to 2,320.80, 3,482.42 and 1,023.16 is: 1,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.80 : 3,482.42 = 1,023.16 : x
  2. Step 2: Convert to fraction form
    2,320.80/3,482.42 = 1,023.16/x
  3. Step 3: Cross multiply
    2,320.80x = 3,482.42 × 1,023.16
  4. Step 4: Simplify right side
    2,320.80x = 3,563,072.85
  5. Step 5: Solve for x
    x = 3,563,072.85/2,320.80
  6. Step 6: Final answer
    x = 1,535.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.