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Finding the Fourth Proportional to 3,156, 4,355.29 and 1,897.08

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Solution

The fourth proportional to 3,156, 4,355.29 and 1,897.08 is: 2,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156 : 4,355.29 = 1,897.08 : x
  2. Step 2: Convert to fraction form
    3,156/4,355.29 = 1,897.08/x
  3. Step 3: Cross multiply
    3,156x = 4,355.29 × 1,897.08
  4. Step 4: Simplify right side
    3,156x = 8,262,333.55
  5. Step 5: Solve for x
    x = 8,262,333.55/3,156
  6. Step 6: Final answer
    x = 2,617.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.