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Finding the Fourth Proportional to 9,885.78, 14,831.10 and 6,969.78

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Solution

The fourth proportional to 9,885.78, 14,831.10 and 6,969.78 is: 10,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.78 : 14,831.10 = 6,969.78 : x
  2. Step 2: Convert to fraction form
    9,885.78/14,831.10 = 6,969.78/x
  3. Step 3: Cross multiply
    9,885.78x = 14,831.10 × 6,969.78
  4. Step 4: Simplify right side
    9,885.78x = 103,369,504.16
  5. Step 5: Solve for x
    x = 103,369,504.16/9,885.78
  6. Step 6: Final answer
    x = 10,456.38

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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.