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Finding the Fourth Proportional to 5,118.72, 7,678.08 and 2,040

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Solution

The fourth proportional to 5,118.72, 7,678.08 and 2,040 is: 3,060.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.72 : 7,678.08 = 2,040 : x
  2. Step 2: Convert to fraction form
    5,118.72/7,678.08 = 2,040/x
  3. Step 3: Cross multiply
    5,118.72x = 7,678.08 × 2,040
  4. Step 4: Simplify right side
    5,118.72x = 15,663,283.20
  5. Step 5: Solve for x
    x = 15,663,283.20/5,118.72
  6. Step 6: Final answer
    x = 3,060.00

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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.