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Finding the Fourth Proportional to 10,005.30, 13,810.26 and 8,015.16

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Solution

The fourth proportional to 10,005.30, 13,810.26 and 8,015.16 is: 11,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.30 : 13,810.26 = 8,015.16 : x
  2. Step 2: Convert to fraction form
    10,005.30/13,810.26 = 8,015.16/x
  3. Step 3: Cross multiply
    10,005.30x = 13,810.26 × 8,015.16
  4. Step 4: Simplify right side
    10,005.30x = 110,691,443.54
  5. Step 5: Solve for x
    x = 110,691,443.54/10,005.30
  6. Step 6: Final answer
    x = 11,063.28

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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.