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Finding the Fourth Proportional to 3,152.30, 4,724.40 and 1,918.40

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Solution

The fourth proportional to 3,152.30, 4,724.40 and 1,918.40 is: 2,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.30 : 4,724.40 = 1,918.40 : x
  2. Step 2: Convert to fraction form
    3,152.30/4,724.40 = 1,918.40/x
  3. Step 3: Cross multiply
    3,152.30x = 4,724.40 × 1,918.40
  4. Step 4: Simplify right side
    3,152.30x = 9,063,288.96
  5. Step 5: Solve for x
    x = 9,063,288.96/3,152.30
  6. Step 6: Final answer
    x = 2,875.14

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Why These Related Problems?

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