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Finding the Fourth Proportional to 6,107, 9,160.56 and 1,490

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Solution

The fourth proportional to 6,107, 9,160.56 and 1,490 is: 2,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 9,160.56 = 1,490 : x
  2. Step 2: Convert to fraction form
    6,107/9,160.56 = 1,490/x
  3. Step 3: Cross multiply
    6,107x = 9,160.56 × 1,490
  4. Step 4: Simplify right side
    6,107x = 13,649,234.40
  5. Step 5: Solve for x
    x = 13,649,234.40/6,107
  6. Step 6: Final answer
    x = 2,235.01

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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.