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Finding the Fourth Proportional to 13,858.56, 19,125.12 and 7,570.80

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Solution

The fourth proportional to 13,858.56, 19,125.12 and 7,570.80 is: 10,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.56 : 19,125.12 = 7,570.80 : x
  2. Step 2: Convert to fraction form
    13,858.56/19,125.12 = 7,570.80/x
  3. Step 3: Cross multiply
    13,858.56x = 19,125.12 × 7,570.80
  4. Step 4: Simplify right side
    13,858.56x = 144,792,458.50
  5. Step 5: Solve for x
    x = 144,792,458.50/13,858.56
  6. Step 6: Final answer
    x = 10,447.87

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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.