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Finding the Fourth Proportional to 2,344.80, 3,237.12 and 1,560

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Solution

The fourth proportional to 2,344.80, 3,237.12 and 1,560 is: 2,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.80 : 3,237.12 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,344.80/3,237.12 = 1,560/x
  3. Step 3: Cross multiply
    2,344.80x = 3,237.12 × 1,560
  4. Step 4: Simplify right side
    2,344.80x = 5,049,907.20
  5. Step 5: Solve for x
    x = 5,049,907.20/2,344.80
  6. Step 6: Final answer
    x = 2,153.66

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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.