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Finding the Fourth Proportional to 3,520.95, 5,281.15 and 923.82

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Solution

The fourth proportional to 3,520.95, 5,281.15 and 923.82 is: 1,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.95 : 5,281.15 = 923.82 : x
  2. Step 2: Convert to fraction form
    3,520.95/5,281.15 = 923.82/x
  3. Step 3: Cross multiply
    3,520.95x = 5,281.15 × 923.82
  4. Step 4: Simplify right side
    3,520.95x = 4,878,831.99
  5. Step 5: Solve for x
    x = 4,878,831.99/3,520.95
  6. Step 6: Final answer
    x = 1,385.66

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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.