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Finding the Fourth Proportional to 5,842.51, 8,721.38 and 5,408.91

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Solution

The fourth proportional to 5,842.51, 8,721.38 and 5,408.91 is: 8,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.51 : 8,721.38 = 5,408.91 : x
  2. Step 2: Convert to fraction form
    5,842.51/8,721.38 = 5,408.91/x
  3. Step 3: Cross multiply
    5,842.51x = 8,721.38 × 5,408.91
  4. Step 4: Simplify right side
    5,842.51x = 47,173,173.02
  5. Step 5: Solve for x
    x = 47,173,173.02/5,842.51
  6. Step 6: Final answer
    x = 8,074.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.