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Finding the Fourth Proportional to 9,667.80, 14,490.90 and 5,509.80

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Solution

The fourth proportional to 9,667.80, 14,490.90 and 5,509.80 is: 8,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.80 : 14,490.90 = 5,509.80 : x
  2. Step 2: Convert to fraction form
    9,667.80/14,490.90 = 5,509.80/x
  3. Step 3: Cross multiply
    9,667.80x = 14,490.90 × 5,509.80
  4. Step 4: Simplify right side
    9,667.80x = 79,841,960.82
  5. Step 5: Solve for x
    x = 79,841,960.82/9,667.80
  6. Step 6: Final answer
    x = 8,258.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.