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Finding the Fourth Proportional to 5,064.86, 6,987.74 and 3,072

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Solution

The fourth proportional to 5,064.86, 6,987.74 and 3,072 is: 4,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.86 : 6,987.74 = 3,072 : x
  2. Step 2: Convert to fraction form
    5,064.86/6,987.74 = 3,072/x
  3. Step 3: Cross multiply
    5,064.86x = 6,987.74 × 3,072
  4. Step 4: Simplify right side
    5,064.86x = 21,466,337.28
  5. Step 5: Solve for x
    x = 21,466,337.28/5,064.86
  6. Step 6: Final answer
    x = 4,238.29

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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.