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Finding the Fourth Proportional to 3,715.68, 5,574 and 1,118.88

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Solution

The fourth proportional to 3,715.68, 5,574 and 1,118.88 is: 1,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.68 : 5,574 = 1,118.88 : x
  2. Step 2: Convert to fraction form
    3,715.68/5,574 = 1,118.88/x
  3. Step 3: Cross multiply
    3,715.68x = 5,574 × 1,118.88
  4. Step 4: Simplify right side
    3,715.68x = 6,236,637.12
  5. Step 5: Solve for x
    x = 6,236,637.12/3,715.68
  6. Step 6: Final answer
    x = 1,678.46

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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.