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Finding the Fourth Proportional to 6,424.84, 8,864.94 and 4,066.12

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Solution

The fourth proportional to 6,424.84, 8,864.94 and 4,066.12 is: 5,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.84 : 8,864.94 = 4,066.12 : x
  2. Step 2: Convert to fraction form
    6,424.84/8,864.94 = 4,066.12/x
  3. Step 3: Cross multiply
    6,424.84x = 8,864.94 × 4,066.12
  4. Step 4: Simplify right side
    6,424.84x = 36,045,909.83
  5. Step 5: Solve for x
    x = 36,045,909.83/6,424.84
  6. Step 6: Final answer
    x = 5,610.40

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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.