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Finding the Fourth Proportional to 2,807.84, 3,875.15 and 1,689.35

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Solution

The fourth proportional to 2,807.84, 3,875.15 and 1,689.35 is: 2,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.84 : 3,875.15 = 1,689.35 : x
  2. Step 2: Convert to fraction form
    2,807.84/3,875.15 = 1,689.35/x
  3. Step 3: Cross multiply
    2,807.84x = 3,875.15 × 1,689.35
  4. Step 4: Simplify right side
    2,807.84x = 6,546,456.83
  5. Step 5: Solve for x
    x = 6,546,456.83/2,807.84
  6. Step 6: Final answer
    x = 2,331.50

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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.