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Finding the Fourth Proportional to 7,697.08, 10,614.84 and 5,140.32

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Solution

The fourth proportional to 7,697.08, 10,614.84 and 5,140.32 is: 7,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.08 : 10,614.84 = 5,140.32 : x
  2. Step 2: Convert to fraction form
    7,697.08/10,614.84 = 5,140.32/x
  3. Step 3: Cross multiply
    7,697.08x = 10,614.84 × 5,140.32
  4. Step 4: Simplify right side
    7,697.08x = 54,563,674.35
  5. Step 5: Solve for x
    x = 54,563,674.35/7,697.08
  6. Step 6: Final answer
    x = 7,088.88

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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.