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Finding the Fourth Proportional to 5,775.60, 7,970.32 and 3,123

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Solution

The fourth proportional to 5,775.60, 7,970.32 and 3,123 is: 4,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.60 : 7,970.32 = 3,123 : x
  2. Step 2: Convert to fraction form
    5,775.60/7,970.32 = 3,123/x
  3. Step 3: Cross multiply
    5,775.60x = 7,970.32 × 3,123
  4. Step 4: Simplify right side
    5,775.60x = 24,891,308.87
  5. Step 5: Solve for x
    x = 24,891,308.87/5,775.60
  6. Step 6: Final answer
    x = 4,309.74

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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.