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Finding the Fourth Proportional to 10,215, 14,087.34 and 6,626.22

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Solution

The fourth proportional to 10,215, 14,087.34 and 6,626.22 is: 9,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215 : 14,087.34 = 6,626.22 : x
  2. Step 2: Convert to fraction form
    10,215/14,087.34 = 6,626.22/x
  3. Step 3: Cross multiply
    10,215x = 14,087.34 × 6,626.22
  4. Step 4: Simplify right side
    10,215x = 93,345,814.05
  5. Step 5: Solve for x
    x = 93,345,814.05/10,215
  6. Step 6: Final answer
    x = 9,138.11

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1.5x scale

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.