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Finding the Fourth Proportional to 5,746.88, 7,911.24 and 5,157.20

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Solution

The fourth proportional to 5,746.88, 7,911.24 and 5,157.20 is: 7,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.88 : 7,911.24 = 5,157.20 : x
  2. Step 2: Convert to fraction form
    5,746.88/7,911.24 = 5,157.20/x
  3. Step 3: Cross multiply
    5,746.88x = 7,911.24 × 5,157.20
  4. Step 4: Simplify right side
    5,746.88x = 40,799,846.93
  5. Step 5: Solve for x
    x = 40,799,846.93/5,746.88
  6. Step 6: Final answer
    x = 7,099.48

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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.