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Finding the Fourth Proportional to 3,184, 4,776 and 1,452.64

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Solution

The fourth proportional to 3,184, 4,776 and 1,452.64 is: 2,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,776 = 1,452.64 : x
  2. Step 2: Convert to fraction form
    3,184/4,776 = 1,452.64/x
  3. Step 3: Cross multiply
    3,184x = 4,776 × 1,452.64
  4. Step 4: Simplify right side
    3,184x = 6,937,808.64
  5. Step 5: Solve for x
    x = 6,937,808.64/3,184
  6. Step 6: Final answer
    x = 2,178.96

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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.