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Finding the Fourth Proportional to 10,206.88, 15,290.84 and 6,914.32

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Solution

The fourth proportional to 10,206.88, 15,290.84 and 6,914.32 is: 10,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.88 : 15,290.84 = 6,914.32 : x
  2. Step 2: Convert to fraction form
    10,206.88/15,290.84 = 6,914.32/x
  3. Step 3: Cross multiply
    10,206.88x = 15,290.84 × 6,914.32
  4. Step 4: Simplify right side
    10,206.88x = 105,725,760.83
  5. Step 5: Solve for x
    x = 105,725,760.83/10,206.88
  6. Step 6: Final answer
    x = 10,358.28

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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.