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Finding the Fourth Proportional to 9,125.10, 13,693.05 and 6,014.10

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Solution

The fourth proportional to 9,125.10, 13,693.05 and 6,014.10 is: 9,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.10 : 13,693.05 = 6,014.10 : x
  2. Step 2: Convert to fraction form
    9,125.10/13,693.05 = 6,014.10/x
  3. Step 3: Cross multiply
    9,125.10x = 13,693.05 × 6,014.10
  4. Step 4: Simplify right side
    9,125.10x = 82,351,372.01
  5. Step 5: Solve for x
    x = 82,351,372.01/9,125.10
  6. Step 6: Final answer
    x = 9,024.71

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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.