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Finding the Fourth Proportional to 8,390.19, 11,564.19 and 5,732.99

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Solution

The fourth proportional to 8,390.19, 11,564.19 and 5,732.99 is: 7,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.19 : 11,564.19 = 5,732.99 : x
  2. Step 2: Convert to fraction form
    8,390.19/11,564.19 = 5,732.99/x
  3. Step 3: Cross multiply
    8,390.19x = 11,564.19 × 5,732.99
  4. Step 4: Simplify right side
    8,390.19x = 66,297,327.81
  5. Step 5: Solve for x
    x = 66,297,327.81/8,390.19
  6. Step 6: Final answer
    x = 7,901.77

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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.