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Finding the Fourth Proportional to 14,058, 19,400.06 and 7,770.38

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Solution

The fourth proportional to 14,058, 19,400.06 and 7,770.38 is: 10,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058 : 19,400.06 = 7,770.38 : x
  2. Step 2: Convert to fraction form
    14,058/19,400.06 = 7,770.38/x
  3. Step 3: Cross multiply
    14,058x = 19,400.06 × 7,770.38
  4. Step 4: Simplify right side
    14,058x = 150,745,760.65
  5. Step 5: Solve for x
    x = 150,745,760.65/14,058
  6. Step 6: Final answer
    x = 10,723.13

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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.