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Finding the Fourth Proportional to 4,752, 7,121.71 and 3,440.13

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Solution

The fourth proportional to 4,752, 7,121.71 and 3,440.13 is: 5,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 7,121.71 = 3,440.13 : x
  2. Step 2: Convert to fraction form
    4,752/7,121.71 = 3,440.13/x
  3. Step 3: Cross multiply
    4,752x = 7,121.71 × 3,440.13
  4. Step 4: Simplify right side
    4,752x = 24,499,608.22
  5. Step 5: Solve for x
    x = 24,499,608.22/4,752
  6. Step 6: Final answer
    x = 5,155.64

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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.