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Finding the Fourth Proportional to 6,174, 9,261 and 1,557

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Solution

The fourth proportional to 6,174, 9,261 and 1,557 is: 2,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 9,261 = 1,557 : x
  2. Step 2: Convert to fraction form
    6,174/9,261 = 1,557/x
  3. Step 3: Cross multiply
    6,174x = 9,261 × 1,557
  4. Step 4: Simplify right side
    6,174x = 14,419,377
  5. Step 5: Solve for x
    x = 14,419,377/6,174
  6. Step 6: Final answer
    x = 2,335.50

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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.