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Finding the Fourth Proportional to 10,070, 13,896.60 and 5,878.28

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Solution

The fourth proportional to 10,070, 13,896.60 and 5,878.28 is: 8,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070 : 13,896.60 = 5,878.28 : x
  2. Step 2: Convert to fraction form
    10,070/13,896.60 = 5,878.28/x
  3. Step 3: Cross multiply
    10,070x = 13,896.60 × 5,878.28
  4. Step 4: Simplify right side
    10,070x = 81,688,105.85
  5. Step 5: Solve for x
    x = 81,688,105.85/10,070
  6. Step 6: Final answer
    x = 8,112.03

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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.