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Finding the Fourth Proportional to 9,890.80, 13,635.09 and 7,053.24

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Solution

The fourth proportional to 9,890.80, 13,635.09 and 7,053.24 is: 9,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.80 : 13,635.09 = 7,053.24 : x
  2. Step 2: Convert to fraction form
    9,890.80/13,635.09 = 7,053.24/x
  3. Step 3: Cross multiply
    9,890.80x = 13,635.09 × 7,053.24
  4. Step 4: Simplify right side
    9,890.80x = 96,171,613.32
  5. Step 5: Solve for x
    x = 96,171,613.32/9,890.80
  6. Step 6: Final answer
    x = 9,723.34

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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.