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Finding the Fourth Proportional to 6,465.42, 9,697.32 and 5,376.78

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Solution

The fourth proportional to 6,465.42, 9,697.32 and 5,376.78 is: 8,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.42 : 9,697.32 = 5,376.78 : x
  2. Step 2: Convert to fraction form
    6,465.42/9,697.32 = 5,376.78/x
  3. Step 3: Cross multiply
    6,465.42x = 9,697.32 × 5,376.78
  4. Step 4: Simplify right side
    6,465.42x = 52,140,356.23
  5. Step 5: Solve for x
    x = 52,140,356.23/6,465.42
  6. Step 6: Final answer
    x = 8,064.50

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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.