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Finding the Fourth Proportional to 3,184, 4,776.27 and 875.50

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Solution

The fourth proportional to 3,184, 4,776.27 and 875.50 is: 1,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,776.27 = 875.50 : x
  2. Step 2: Convert to fraction form
    3,184/4,776.27 = 875.50/x
  3. Step 3: Cross multiply
    3,184x = 4,776.27 × 875.50
  4. Step 4: Simplify right side
    3,184x = 4,181,624.39
  5. Step 5: Solve for x
    x = 4,181,624.39/3,184
  6. Step 6: Final answer
    x = 1,313.32

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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.