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Finding the Fourth Proportional to 3,914.87, 5,870.15 and 1,607.99

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Solution

The fourth proportional to 3,914.87, 5,870.15 and 1,607.99 is: 2,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.87 : 5,870.15 = 1,607.99 : x
  2. Step 2: Convert to fraction form
    3,914.87/5,870.15 = 1,607.99/x
  3. Step 3: Cross multiply
    3,914.87x = 5,870.15 × 1,607.99
  4. Step 4: Simplify right side
    3,914.87x = 9,439,134.46
  5. Step 5: Solve for x
    x = 9,439,134.46/3,914.87
  6. Step 6: Final answer
    x = 2,411.10

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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.