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Finding the Fourth Proportional to 3,713.84, 5,566.80 and 1,246.40

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Solution

The fourth proportional to 3,713.84, 5,566.80 and 1,246.40 is: 1,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.84 : 5,566.80 = 1,246.40 : x
  2. Step 2: Convert to fraction form
    3,713.84/5,566.80 = 1,246.40/x
  3. Step 3: Cross multiply
    3,713.84x = 5,566.80 × 1,246.40
  4. Step 4: Simplify right side
    3,713.84x = 6,938,459.52
  5. Step 5: Solve for x
    x = 6,938,459.52/3,713.84
  6. Step 6: Final answer
    x = 1,868.27

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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.