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Finding the Fourth Proportional to 7,221.83, 9,966.87 and 5,206.91

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Solution

The fourth proportional to 7,221.83, 9,966.87 and 5,206.91 is: 7,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.83 : 9,966.87 = 5,206.91 : x
  2. Step 2: Convert to fraction form
    7,221.83/9,966.87 = 5,206.91/x
  3. Step 3: Cross multiply
    7,221.83x = 9,966.87 × 5,206.91
  4. Step 4: Simplify right side
    7,221.83x = 51,896,525.71
  5. Step 5: Solve for x
    x = 51,896,525.71/7,221.83
  6. Step 6: Final answer
    x = 7,186.06

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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.