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Finding the Fourth Proportional to 4,242.54, 6,364.08 and 1,320.96

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Solution

The fourth proportional to 4,242.54, 6,364.08 and 1,320.96 is: 1,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.54 : 6,364.08 = 1,320.96 : x
  2. Step 2: Convert to fraction form
    4,242.54/6,364.08 = 1,320.96/x
  3. Step 3: Cross multiply
    4,242.54x = 6,364.08 × 1,320.96
  4. Step 4: Simplify right side
    4,242.54x = 8,406,695.12
  5. Step 5: Solve for x
    x = 8,406,695.12/4,242.54
  6. Step 6: Final answer
    x = 1,981.52

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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.