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Finding the Fourth Proportional to 2,678.68, 3,696.24 and 1,560

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Solution

The fourth proportional to 2,678.68, 3,696.24 and 1,560 is: 2,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.68 : 3,696.24 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,678.68/3,696.24 = 1,560/x
  3. Step 3: Cross multiply
    2,678.68x = 3,696.24 × 1,560
  4. Step 4: Simplify right side
    2,678.68x = 5,766,134.40
  5. Step 5: Solve for x
    x = 5,766,134.40/2,678.68
  6. Step 6: Final answer
    x = 2,152.60

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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.