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Finding the Fourth Proportional to 4,000.86, 5,509.76 and 3,915

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Solution

The fourth proportional to 4,000.86, 5,509.76 and 3,915 is: 5,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.86 : 5,509.76 = 3,915 : x
  2. Step 2: Convert to fraction form
    4,000.86/5,509.76 = 3,915/x
  3. Step 3: Cross multiply
    4,000.86x = 5,509.76 × 3,915
  4. Step 4: Simplify right side
    4,000.86x = 21,570,690.83
  5. Step 5: Solve for x
    x = 21,570,690.83/4,000.86
  6. Step 6: Final answer
    x = 5,391.51

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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.