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Finding the Fourth Proportional to 9,589.70, 14,399.40 and 5,215.70

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Solution

The fourth proportional to 9,589.70, 14,399.40 and 5,215.70 is: 7,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.70 : 14,399.40 = 5,215.70 : x
  2. Step 2: Convert to fraction form
    9,589.70/14,399.40 = 5,215.70/x
  3. Step 3: Cross multiply
    9,589.70x = 14,399.40 × 5,215.70
  4. Step 4: Simplify right side
    9,589.70x = 75,102,950.58
  5. Step 5: Solve for x
    x = 75,102,950.58/9,589.70
  6. Step 6: Final answer
    x = 7,831.63

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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.