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Finding the Fourth Proportional to 10,390, 15,585 and 3,094

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Solution

The fourth proportional to 10,390, 15,585 and 3,094 is: 4,641

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390 : 15,585 = 3,094 : x
  2. Step 2: Convert to fraction form
    10,390/15,585 = 3,094/x
  3. Step 3: Cross multiply
    10,390x = 15,585 × 3,094
  4. Step 4: Simplify right side
    10,390x = 48,219,990
  5. Step 5: Solve for x
    x = 48,219,990/10,390
  6. Step 6: Final answer
    x = 4,641

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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.