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Finding the Fourth Proportional to 5,200.45, 7,800.68 and 4,957.45

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Solution

The fourth proportional to 5,200.45, 7,800.68 and 4,957.45 is: 7,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.45 : 7,800.68 = 4,957.45 : x
  2. Step 2: Convert to fraction form
    5,200.45/7,800.68 = 4,957.45/x
  3. Step 3: Cross multiply
    5,200.45x = 7,800.68 × 4,957.45
  4. Step 4: Simplify right side
    5,200.45x = 38,671,456.28
  5. Step 5: Solve for x
    x = 38,671,456.28/5,200.45
  6. Step 6: Final answer
    x = 7,436.18

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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.