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Finding the Fourth Proportional to 8,615.91, 11,885.76 and 5,631.87

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Solution

The fourth proportional to 8,615.91, 11,885.76 and 5,631.87 is: 7,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.91 : 11,885.76 = 5,631.87 : x
  2. Step 2: Convert to fraction form
    8,615.91/11,885.76 = 5,631.87/x
  3. Step 3: Cross multiply
    8,615.91x = 11,885.76 × 5,631.87
  4. Step 4: Simplify right side
    8,615.91x = 66,939,055.17
  5. Step 5: Solve for x
    x = 66,939,055.17/8,615.91
  6. Step 6: Final answer
    x = 7,769.24

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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.