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Finding the Fourth Proportional to 5,257.99, 7,888.13 and 1,560

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Solution

The fourth proportional to 5,257.99, 7,888.13 and 1,560 is: 2,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.99 : 7,888.13 = 1,560 : x
  2. Step 2: Convert to fraction form
    5,257.99/7,888.13 = 1,560/x
  3. Step 3: Cross multiply
    5,257.99x = 7,888.13 × 1,560
  4. Step 4: Simplify right side
    5,257.99x = 12,305,486.70
  5. Step 5: Solve for x
    x = 12,305,486.70/5,257.99
  6. Step 6: Final answer
    x = 2,340.34

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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.