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Finding the Fourth Proportional to 2,909.99, 4,365.66 and 830.02

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Solution

The fourth proportional to 2,909.99, 4,365.66 and 830.02 is: 1,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.99 : 4,365.66 = 830.02 : x
  2. Step 2: Convert to fraction form
    2,909.99/4,365.66 = 830.02/x
  3. Step 3: Cross multiply
    2,909.99x = 4,365.66 × 830.02
  4. Step 4: Simplify right side
    2,909.99x = 3,623,585.11
  5. Step 5: Solve for x
    x = 3,623,585.11/2,909.99
  6. Step 6: Final answer
    x = 1,245.22

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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.