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Finding the Fourth Proportional to 10,046.40, 13,863.93 and 5,509.15

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Solution

The fourth proportional to 10,046.40, 13,863.93 and 5,509.15 is: 7,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.40 : 13,863.93 = 5,509.15 : x
  2. Step 2: Convert to fraction form
    10,046.40/13,863.93 = 5,509.15/x
  3. Step 3: Cross multiply
    10,046.40x = 13,863.93 × 5,509.15
  4. Step 4: Simplify right side
    10,046.40x = 76,378,414.64
  5. Step 5: Solve for x
    x = 76,378,414.64/10,046.40
  6. Step 6: Final answer
    x = 7,602.57

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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.