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Finding the Fourth Proportional to 5,200.30, 7,800.45 and 1,737.55

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Solution

The fourth proportional to 5,200.30, 7,800.45 and 1,737.55 is: 2,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.30 : 7,800.45 = 1,737.55 : x
  2. Step 2: Convert to fraction form
    5,200.30/7,800.45 = 1,737.55/x
  3. Step 3: Cross multiply
    5,200.30x = 7,800.45 × 1,737.55
  4. Step 4: Simplify right side
    5,200.30x = 13,553,671.90
  5. Step 5: Solve for x
    x = 13,553,671.90/5,200.30
  6. Step 6: Final answer
    x = 2,606.33

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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.