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Finding the Fourth Proportional to 2,802.99, 4,205.90 and 1,160.72

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Solution

The fourth proportional to 2,802.99, 4,205.90 and 1,160.72 is: 1,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.99 : 4,205.90 = 1,160.72 : x
  2. Step 2: Convert to fraction form
    2,802.99/4,205.90 = 1,160.72/x
  3. Step 3: Cross multiply
    2,802.99x = 4,205.90 × 1,160.72
  4. Step 4: Simplify right side
    2,802.99x = 4,881,854.12
  5. Step 5: Solve for x
    x = 4,881,854.12/2,802.99
  6. Step 6: Final answer
    x = 1,741.66

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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.