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Finding the Fourth Proportional to 9,881.40, 13,631.02 and 6,105.40

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Solution

The fourth proportional to 9,881.40, 13,631.02 and 6,105.40 is: 8,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.40 : 13,631.02 = 6,105.40 : x
  2. Step 2: Convert to fraction form
    9,881.40/13,631.02 = 6,105.40/x
  3. Step 3: Cross multiply
    9,881.40x = 13,631.02 × 6,105.40
  4. Step 4: Simplify right side
    9,881.40x = 83,222,829.51
  5. Step 5: Solve for x
    x = 83,222,829.51/9,881.40
  6. Step 6: Final answer
    x = 8,422.17

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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.