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Finding the Fourth Proportional to 10,881.70, 15,011.22 and 7,107.07

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Solution

The fourth proportional to 10,881.70, 15,011.22 and 7,107.07 is: 9,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.70 : 15,011.22 = 7,107.07 : x
  2. Step 2: Convert to fraction form
    10,881.70/15,011.22 = 7,107.07/x
  3. Step 3: Cross multiply
    10,881.70x = 15,011.22 × 7,107.07
  4. Step 4: Simplify right side
    10,881.70x = 106,685,783.44
  5. Step 5: Solve for x
    x = 106,685,783.44/10,881.70
  6. Step 6: Final answer
    x = 9,804.15

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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.