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Finding the Fourth Proportional to 9,831.87, 14,690.32 and 9,487.41

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Solution

The fourth proportional to 9,831.87, 14,690.32 and 9,487.41 is: 14,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.87 : 14,690.32 = 9,487.41 : x
  2. Step 2: Convert to fraction form
    9,831.87/14,690.32 = 9,487.41/x
  3. Step 3: Cross multiply
    9,831.87x = 14,690.32 × 9,487.41
  4. Step 4: Simplify right side
    9,831.87x = 139,373,065.15
  5. Step 5: Solve for x
    x = 139,373,065.15/9,831.87
  6. Step 6: Final answer
    x = 14,175.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.