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Finding the Fourth Proportional to 13,858, 19,124.46 and 7,570.78

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Solution

The fourth proportional to 13,858, 19,124.46 and 7,570.78 is: 10,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 19,124.46 = 7,570.78 : x
  2. Step 2: Convert to fraction form
    13,858/19,124.46 = 7,570.78/x
  3. Step 3: Cross multiply
    13,858x = 19,124.46 × 7,570.78
  4. Step 4: Simplify right side
    13,858x = 144,787,079.28
  5. Step 5: Solve for x
    x = 144,787,079.28/13,858
  6. Step 6: Final answer
    x = 10,447.91

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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.