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Finding the Fourth Proportional to 2,871.95, 4,307.91 and 1,897.82

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Solution

The fourth proportional to 2,871.95, 4,307.91 and 1,897.82 is: 2,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.95 : 4,307.91 = 1,897.82 : x
  2. Step 2: Convert to fraction form
    2,871.95/4,307.91 = 1,897.82/x
  3. Step 3: Cross multiply
    2,871.95x = 4,307.91 × 1,897.82
  4. Step 4: Simplify right side
    2,871.95x = 8,175,616.22
  5. Step 5: Solve for x
    x = 8,175,616.22/2,871.95
  6. Step 6: Final answer
    x = 2,846.72

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1.5x scale

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.