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Finding the Fourth Proportional to 4,315, 6,472.62 and 1,393.60

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Solution

The fourth proportional to 4,315, 6,472.62 and 1,393.60 is: 2,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315 : 6,472.62 = 1,393.60 : x
  2. Step 2: Convert to fraction form
    4,315/6,472.62 = 1,393.60/x
  3. Step 3: Cross multiply
    4,315x = 6,472.62 × 1,393.60
  4. Step 4: Simplify right side
    4,315x = 9,020,243.23
  5. Step 5: Solve for x
    x = 9,020,243.23/4,315
  6. Step 6: Final answer
    x = 2,090.44

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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.