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Finding the Fourth Proportional to 2,347, 3,237.36 and 1,507.42

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Solution

The fourth proportional to 2,347, 3,237.36 and 1,507.42 is: 2,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347 : 3,237.36 = 1,507.42 : x
  2. Step 2: Convert to fraction form
    2,347/3,237.36 = 1,507.42/x
  3. Step 3: Cross multiply
    2,347x = 3,237.36 × 1,507.42
  4. Step 4: Simplify right side
    2,347x = 4,880,061.21
  5. Step 5: Solve for x
    x = 4,880,061.21/2,347
  6. Step 6: Final answer
    x = 2,079.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.