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Finding the Fourth Proportional to 4,340.53, 6,510.19 and 1,418.86

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Solution

The fourth proportional to 4,340.53, 6,510.19 and 1,418.86 is: 2,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.53 : 6,510.19 = 1,418.86 : x
  2. Step 2: Convert to fraction form
    4,340.53/6,510.19 = 1,418.86/x
  3. Step 3: Cross multiply
    4,340.53x = 6,510.19 × 1,418.86
  4. Step 4: Simplify right side
    4,340.53x = 9,237,048.18
  5. Step 5: Solve for x
    x = 9,237,048.18/4,340.53
  6. Step 6: Final answer
    x = 2,128.09

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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.