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Finding the Fourth Proportional to 9,430, 13,013.82 and 5,238.24

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Solution

The fourth proportional to 9,430, 13,013.82 and 5,238.24 is: 7,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430 : 13,013.82 = 5,238.24 : x
  2. Step 2: Convert to fraction form
    9,430/13,013.82 = 5,238.24/x
  3. Step 3: Cross multiply
    9,430x = 13,013.82 × 5,238.24
  4. Step 4: Simplify right side
    9,430x = 68,169,512.48
  5. Step 5: Solve for x
    x = 68,169,512.48/9,430
  6. Step 6: Final answer
    x = 7,229.00

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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.