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Finding the Fourth Proportional to 8,564.93, 11,811.92 and 7,134.05

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Solution

The fourth proportional to 8,564.93, 11,811.92 and 7,134.05 is: 9,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.93 : 11,811.92 = 7,134.05 : x
  2. Step 2: Convert to fraction form
    8,564.93/11,811.92 = 7,134.05/x
  3. Step 3: Cross multiply
    8,564.93x = 11,811.92 × 7,134.05
  4. Step 4: Simplify right side
    8,564.93x = 84,266,875.24
  5. Step 5: Solve for x
    x = 84,266,875.24/8,564.93
  6. Step 6: Final answer
    x = 9,838.59

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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.