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Finding the Fourth Proportional to 2,986.72, 4,482.12 and 1,038.92

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Solution

The fourth proportional to 2,986.72, 4,482.12 and 1,038.92 is: 1,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.72 : 4,482.12 = 1,038.92 : x
  2. Step 2: Convert to fraction form
    2,986.72/4,482.12 = 1,038.92/x
  3. Step 3: Cross multiply
    2,986.72x = 4,482.12 × 1,038.92
  4. Step 4: Simplify right side
    2,986.72x = 4,656,564.11
  5. Step 5: Solve for x
    x = 4,656,564.11/2,986.72
  6. Step 6: Final answer
    x = 1,559.09

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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.