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Finding the Fourth Proportional to 5,746.75, 8,615.54 and 5,285.45

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Solution

The fourth proportional to 5,746.75, 8,615.54 and 5,285.45 is: 7,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.75 : 8,615.54 = 5,285.45 : x
  2. Step 2: Convert to fraction form
    5,746.75/8,615.54 = 5,285.45/x
  3. Step 3: Cross multiply
    5,746.75x = 8,615.54 × 5,285.45
  4. Step 4: Simplify right side
    5,746.75x = 45,537,025.78
  5. Step 5: Solve for x
    x = 45,537,025.78/5,746.75
  6. Step 6: Final answer
    x = 7,923.96

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1.5x scale

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.