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Finding the Fourth Proportional to 2,703.11, 4,053.63 and 947.61

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Solution

The fourth proportional to 2,703.11, 4,053.63 and 947.61 is: 1,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.11 : 4,053.63 = 947.61 : x
  2. Step 2: Convert to fraction form
    2,703.11/4,053.63 = 947.61/x
  3. Step 3: Cross multiply
    2,703.11x = 4,053.63 × 947.61
  4. Step 4: Simplify right side
    2,703.11x = 3,841,263.88
  5. Step 5: Solve for x
    x = 3,841,263.88/2,703.11
  6. Step 6: Final answer
    x = 1,421.06

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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.