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Finding the Fourth Proportional to 13,858.32, 19,125 and 7,570.74

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Solution

The fourth proportional to 13,858.32, 19,125 and 7,570.74 is: 10,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.32 : 19,125 = 7,570.74 : x
  2. Step 2: Convert to fraction form
    13,858.32/19,125 = 7,570.74/x
  3. Step 3: Cross multiply
    13,858.32x = 19,125 × 7,570.74
  4. Step 4: Simplify right side
    13,858.32x = 144,790,402.50
  5. Step 5: Solve for x
    x = 144,790,402.50/13,858.32
  6. Step 6: Final answer
    x = 10,447.90

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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.