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Finding the Fourth Proportional to 5,058.84, 6,978.74 and 3,937.80

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Solution

The fourth proportional to 5,058.84, 6,978.74 and 3,937.80 is: 5,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.84 : 6,978.74 = 3,937.80 : x
  2. Step 2: Convert to fraction form
    5,058.84/6,978.74 = 3,937.80/x
  3. Step 3: Cross multiply
    5,058.84x = 6,978.74 × 3,937.80
  4. Step 4: Simplify right side
    5,058.84x = 27,480,882.37
  5. Step 5: Solve for x
    x = 27,480,882.37/5,058.84
  6. Step 6: Final answer
    x = 5,432.25

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1.5x scale

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.