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Finding the Fourth Proportional to 2,129.64, 2,941.52 and 1,539.24

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Solution

The fourth proportional to 2,129.64, 2,941.52 and 1,539.24 is: 2,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.64 : 2,941.52 = 1,539.24 : x
  2. Step 2: Convert to fraction form
    2,129.64/2,941.52 = 1,539.24/x
  3. Step 3: Cross multiply
    2,129.64x = 2,941.52 × 1,539.24
  4. Step 4: Simplify right side
    2,129.64x = 4,527,705.24
  5. Step 5: Solve for x
    x = 4,527,705.24/2,129.64
  6. Step 6: Final answer
    x = 2,126.04

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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.