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Finding the Fourth Proportional to 3,913.68, 5,870.52 and 1,574.40

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Solution

The fourth proportional to 3,913.68, 5,870.52 and 1,574.40 is: 2,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.68 : 5,870.52 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    3,913.68/5,870.52 = 1,574.40/x
  3. Step 3: Cross multiply
    3,913.68x = 5,870.52 × 1,574.40
  4. Step 4: Simplify right side
    3,913.68x = 9,242,546.69
  5. Step 5: Solve for x
    x = 9,242,546.69/3,913.68
  6. Step 6: Final answer
    x = 2,361.60

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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.