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Finding the Fourth Proportional to 5,674.66, 7,830.98 and 3,156.72

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Solution

The fourth proportional to 5,674.66, 7,830.98 and 3,156.72 is: 4,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.66 : 7,830.98 = 3,156.72 : x
  2. Step 2: Convert to fraction form
    5,674.66/7,830.98 = 3,156.72/x
  3. Step 3: Cross multiply
    5,674.66x = 7,830.98 × 3,156.72
  4. Step 4: Simplify right side
    5,674.66x = 24,720,221.92
  5. Step 5: Solve for x
    x = 24,720,221.92/5,674.66
  6. Step 6: Final answer
    x = 4,356.25

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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.