Home / 3,020-4,167.84-1,778.24

Finding the Fourth Proportional to 3,020, 4,167.84 and 1,778.24

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Solution

The fourth proportional to 3,020, 4,167.84 and 1,778.24 is: 2,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020 : 4,167.84 = 1,778.24 : x
  2. Step 2: Convert to fraction form
    3,020/4,167.84 = 1,778.24/x
  3. Step 3: Cross multiply
    3,020x = 4,167.84 × 1,778.24
  4. Step 4: Simplify right side
    3,020x = 7,411,419.80
  5. Step 5: Solve for x
    x = 7,411,419.80/3,020
  6. Step 6: Final answer
    x = 2,454.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.