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Finding the Fourth Proportional to 2,802.52, 3,866.70 and 1,807.84

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Solution

The fourth proportional to 2,802.52, 3,866.70 and 1,807.84 is: 2,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.52 : 3,866.70 = 1,807.84 : x
  2. Step 2: Convert to fraction form
    2,802.52/3,866.70 = 1,807.84/x
  3. Step 3: Cross multiply
    2,802.52x = 3,866.70 × 1,807.84
  4. Step 4: Simplify right side
    2,802.52x = 6,990,374.93
  5. Step 5: Solve for x
    x = 6,990,374.93/2,802.52
  6. Step 6: Final answer
    x = 2,494.32

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1.5x scale

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.