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Finding the Fourth Proportional to 2,143, 2,957.75 and 1,211.50

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Solution

The fourth proportional to 2,143, 2,957.75 and 1,211.50 is: 1,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143 : 2,957.75 = 1,211.50 : x
  2. Step 2: Convert to fraction form
    2,143/2,957.75 = 1,211.50/x
  3. Step 3: Cross multiply
    2,143x = 2,957.75 × 1,211.50
  4. Step 4: Simplify right side
    2,143x = 3,583,314.13
  5. Step 5: Solve for x
    x = 3,583,314.13/2,143
  6. Step 6: Final answer
    x = 1,672.10

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Why These Related Problems?

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