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Finding the Fourth Proportional to 10,551, 14,560.62 and 6,831.48

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Solution

The fourth proportional to 10,551, 14,560.62 and 6,831.48 is: 9,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551 : 14,560.62 = 6,831.48 : x
  2. Step 2: Convert to fraction form
    10,551/14,560.62 = 6,831.48/x
  3. Step 3: Cross multiply
    10,551x = 14,560.62 × 6,831.48
  4. Step 4: Simplify right side
    10,551x = 99,470,584.32
  5. Step 5: Solve for x
    x = 99,470,584.32/10,551
  6. Step 6: Final answer
    x = 9,427.60

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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.