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Finding the Fourth Proportional to 5,674.56, 7,830.88 and 3,156.64

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Solution

The fourth proportional to 5,674.56, 7,830.88 and 3,156.64 is: 4,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.56 : 7,830.88 = 3,156.64 : x
  2. Step 2: Convert to fraction form
    5,674.56/7,830.88 = 3,156.64/x
  3. Step 3: Cross multiply
    5,674.56x = 7,830.88 × 3,156.64
  4. Step 4: Simplify right side
    5,674.56x = 24,719,269.04
  5. Step 5: Solve for x
    x = 24,719,269.04/5,674.56
  6. Step 6: Final answer
    x = 4,356.16

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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.