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Finding the Fourth Proportional to 3,087.68, 4,632.23 and 896.45

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Solution

The fourth proportional to 3,087.68, 4,632.23 and 896.45 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.68 : 4,632.23 = 896.45 : x
  2. Step 2: Convert to fraction form
    3,087.68/4,632.23 = 896.45/x
  3. Step 3: Cross multiply
    3,087.68x = 4,632.23 × 896.45
  4. Step 4: Simplify right side
    3,087.68x = 4,152,541.66
  5. Step 5: Solve for x
    x = 4,152,541.66/3,087.68
  6. Step 6: Final answer
    x = 1,344.88

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1.5x scale

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.