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Finding the Fourth Proportional to 2,703.95, 4,055.91 and 651.95

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Solution

The fourth proportional to 2,703.95, 4,055.91 and 651.95 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.95 : 4,055.91 = 651.95 : x
  2. Step 2: Convert to fraction form
    2,703.95/4,055.91 = 651.95/x
  3. Step 3: Cross multiply
    2,703.95x = 4,055.91 × 651.95
  4. Step 4: Simplify right side
    2,703.95x = 2,644,230.24
  5. Step 5: Solve for x
    x = 2,644,230.24/2,703.95
  6. Step 6: Final answer
    x = 977.92

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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.