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Finding the Fourth Proportional to 9,767.63, 13,487.10 and 9,021.29

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Solution

The fourth proportional to 9,767.63, 13,487.10 and 9,021.29 is: 12,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.63 : 13,487.10 = 9,021.29 : x
  2. Step 2: Convert to fraction form
    9,767.63/13,487.10 = 9,021.29/x
  3. Step 3: Cross multiply
    9,767.63x = 13,487.10 × 9,021.29
  4. Step 4: Simplify right side
    9,767.63x = 121,671,040.36
  5. Step 5: Solve for x
    x = 121,671,040.36/9,767.63
  6. Step 6: Final answer
    x = 12,456.56

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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.