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Finding the Fourth Proportional to 8,562.32, 11,819.63 and 5,206.20

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Solution

The fourth proportional to 8,562.32, 11,819.63 and 5,206.20 is: 7,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.32 : 11,819.63 = 5,206.20 : x
  2. Step 2: Convert to fraction form
    8,562.32/11,819.63 = 5,206.20/x
  3. Step 3: Cross multiply
    8,562.32x = 11,819.63 × 5,206.20
  4. Step 4: Simplify right side
    8,562.32x = 61,535,345.00
  5. Step 5: Solve for x
    x = 61,535,345.00/8,562.32
  6. Step 6: Final answer
    x = 7,186.76

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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.