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Finding the Fourth Proportional to 3,152.14, 4,723.00 and 1,915.81

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Solution

The fourth proportional to 3,152.14, 4,723.00 and 1,915.81 is: 2,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.14 : 4,723.00 = 1,915.81 : x
  2. Step 2: Convert to fraction form
    3,152.14/4,723.00 = 1,915.81/x
  3. Step 3: Cross multiply
    3,152.14x = 4,723.00 × 1,915.81
  4. Step 4: Simplify right side
    3,152.14x = 9,048,354.03
  5. Step 5: Solve for x
    x = 9,048,354.03/3,152.14
  6. Step 6: Final answer
    x = 2,870.55

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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.