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Finding the Fourth Proportional to 3,870.92, 5,807.51 and 1,405.70

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Solution

The fourth proportional to 3,870.92, 5,807.51 and 1,405.70 is: 2,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.92 : 5,807.51 = 1,405.70 : x
  2. Step 2: Convert to fraction form
    3,870.92/5,807.51 = 1,405.70/x
  3. Step 3: Cross multiply
    3,870.92x = 5,807.51 × 1,405.70
  4. Step 4: Simplify right side
    3,870.92x = 8,163,616.81
  5. Step 5: Solve for x
    x = 8,163,616.81/3,870.92
  6. Step 6: Final answer
    x = 2,108.96

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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.