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Finding the Fourth Proportional to 10,070.78, 13,867.54 and 8,299.31

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Solution

The fourth proportional to 10,070.78, 13,867.54 and 8,299.31 is: 11,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.78 : 13,867.54 = 8,299.31 : x
  2. Step 2: Convert to fraction form
    10,070.78/13,867.54 = 8,299.31/x
  3. Step 3: Cross multiply
    10,070.78x = 13,867.54 × 8,299.31
  4. Step 4: Simplify right side
    10,070.78x = 115,090,923.31
  5. Step 5: Solve for x
    x = 115,090,923.31/10,070.78
  6. Step 6: Final answer
    x = 11,428.21

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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.