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Finding the Fourth Proportional to 9,661.70, 14,507.40 and 5,287.70

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Solution

The fourth proportional to 9,661.70, 14,507.40 and 5,287.70 is: 7,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.70 : 14,507.40 = 5,287.70 : x
  2. Step 2: Convert to fraction form
    9,661.70/14,507.40 = 5,287.70/x
  3. Step 3: Cross multiply
    9,661.70x = 14,507.40 × 5,287.70
  4. Step 4: Simplify right side
    9,661.70x = 76,710,778.98
  5. Step 5: Solve for x
    x = 76,710,778.98/9,661.70
  6. Step 6: Final answer
    x = 7,939.68

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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.