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Finding the Fourth Proportional to 3,088, 4,632.71 and 896.91

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Solution

The fourth proportional to 3,088, 4,632.71 and 896.91 is: 1,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088 : 4,632.71 = 896.91 : x
  2. Step 2: Convert to fraction form
    3,088/4,632.71 = 896.91/x
  3. Step 3: Cross multiply
    3,088x = 4,632.71 × 896.91
  4. Step 4: Simplify right side
    3,088x = 4,155,096.28
  5. Step 5: Solve for x
    x = 4,155,096.28/3,088
  6. Step 6: Final answer
    x = 1,345.56

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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.