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Finding the Fourth Proportional to 5,639.47, 8,448.27 and 4,156

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Solution

The fourth proportional to 5,639.47, 8,448.27 and 4,156 is: 6,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.47 : 8,448.27 = 4,156 : x
  2. Step 2: Convert to fraction form
    5,639.47/8,448.27 = 4,156/x
  3. Step 3: Cross multiply
    5,639.47x = 8,448.27 × 4,156
  4. Step 4: Simplify right side
    5,639.47x = 35,111,010.12
  5. Step 5: Solve for x
    x = 35,111,010.12/5,639.47
  6. Step 6: Final answer
    x = 6,225.94

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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.