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Finding the Fourth Proportional to 6,287.46, 9,432.20 and 1,904.55

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Solution

The fourth proportional to 6,287.46, 9,432.20 and 1,904.55 is: 2,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.46 : 9,432.20 = 1,904.55 : x
  2. Step 2: Convert to fraction form
    6,287.46/9,432.20 = 1,904.55/x
  3. Step 3: Cross multiply
    6,287.46x = 9,432.20 × 1,904.55
  4. Step 4: Simplify right side
    6,287.46x = 17,964,096.51
  5. Step 5: Solve for x
    x = 17,964,096.51/6,287.46
  6. Step 6: Final answer
    x = 2,857.13

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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.