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Finding the Fourth Proportional to 13,790.28, 19,031 and 7,503.08

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Solution

The fourth proportional to 13,790.28, 19,031 and 7,503.08 is: 10,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.28 : 19,031 = 7,503.08 : x
  2. Step 2: Convert to fraction form
    13,790.28/19,031 = 7,503.08/x
  3. Step 3: Cross multiply
    13,790.28x = 19,031 × 7,503.08
  4. Step 4: Simplify right side
    13,790.28x = 142,791,115.48
  5. Step 5: Solve for x
    x = 142,791,115.48/13,790.28
  6. Step 6: Final answer
    x = 10,354.48

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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.