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Finding the Fourth Proportional to 3,152.99, 4,730.18 and 961.89

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Solution

The fourth proportional to 3,152.99, 4,730.18 and 961.89 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.99 : 4,730.18 = 961.89 : x
  2. Step 2: Convert to fraction form
    3,152.99/4,730.18 = 961.89/x
  3. Step 3: Cross multiply
    3,152.99x = 4,730.18 × 961.89
  4. Step 4: Simplify right side
    3,152.99x = 4,549,912.84
  5. Step 5: Solve for x
    x = 4,549,912.84/3,152.99
  6. Step 6: Final answer
    x = 1,443.05

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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.