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Finding the Fourth Proportional to 9,898, 13,661.32 and 9,100.06

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Solution

The fourth proportional to 9,898, 13,661.32 and 9,100.06 is: 12,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898 : 13,661.32 = 9,100.06 : x
  2. Step 2: Convert to fraction form
    9,898/13,661.32 = 9,100.06/x
  3. Step 3: Cross multiply
    9,898x = 13,661.32 × 9,100.06
  4. Step 4: Simplify right side
    9,898x = 124,318,831.68
  5. Step 5: Solve for x
    x = 124,318,831.68/9,898
  6. Step 6: Final answer
    x = 12,560.00

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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.