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Finding the Fourth Proportional to 2,802, 3,866.76 and 1,560

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Solution

The fourth proportional to 2,802, 3,866.76 and 1,560 is: 2,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 3,866.76 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,802/3,866.76 = 1,560/x
  3. Step 3: Cross multiply
    2,802x = 3,866.76 × 1,560
  4. Step 4: Simplify right side
    2,802x = 6,032,145.60
  5. Step 5: Solve for x
    x = 6,032,145.60/2,802
  6. Step 6: Final answer
    x = 2,152.80

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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.