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Finding the Fourth Proportional to 9,767.14, 13,486.37 and 9,020.79

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Solution

The fourth proportional to 9,767.14, 13,486.37 and 9,020.79 is: 12,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.14 : 13,486.37 = 9,020.79 : x
  2. Step 2: Convert to fraction form
    9,767.14/13,486.37 = 9,020.79/x
  3. Step 3: Cross multiply
    9,767.14x = 13,486.37 × 9,020.79
  4. Step 4: Simplify right side
    9,767.14x = 121,657,666.53
  5. Step 5: Solve for x
    x = 121,657,666.53/9,767.14
  6. Step 6: Final answer
    x = 12,455.82

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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.