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Finding the Fourth Proportional to 13,706.88, 20,570.16 and 10,253.28

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Solution

The fourth proportional to 13,706.88, 20,570.16 and 10,253.28 is: 15,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.88 : 20,570.16 = 10,253.28 : x
  2. Step 2: Convert to fraction form
    13,706.88/20,570.16 = 10,253.28/x
  3. Step 3: Cross multiply
    13,706.88x = 20,570.16 × 10,253.28
  4. Step 4: Simplify right side
    13,706.88x = 210,911,610.12
  5. Step 5: Solve for x
    x = 210,911,610.12/13,706.88
  6. Step 6: Final answer
    x = 15,387.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.