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Finding the Fourth Proportional to 3,523.86, 5,285.30 and 926.58

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Solution

The fourth proportional to 3,523.86, 5,285.30 and 926.58 is: 1,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.86 : 5,285.30 = 926.58 : x
  2. Step 2: Convert to fraction form
    3,523.86/5,285.30 = 926.58/x
  3. Step 3: Cross multiply
    3,523.86x = 5,285.30 × 926.58
  4. Step 4: Simplify right side
    3,523.86x = 4,897,253.27
  5. Step 5: Solve for x
    x = 4,897,253.27/3,523.86
  6. Step 6: Final answer
    x = 1,389.74

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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.