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Finding the Fourth Proportional to 4,691.84, 6,998.08 and 4,421.12

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Solution

The fourth proportional to 4,691.84, 6,998.08 and 4,421.12 is: 6,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.84 : 6,998.08 = 4,421.12 : x
  2. Step 2: Convert to fraction form
    4,691.84/6,998.08 = 4,421.12/x
  3. Step 3: Cross multiply
    4,691.84x = 6,998.08 × 4,421.12
  4. Step 4: Simplify right side
    4,691.84x = 30,939,351.45
  5. Step 5: Solve for x
    x = 30,939,351.45/4,691.84
  6. Step 6: Final answer
    x = 6,594.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.