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Finding the Fourth Proportional to 9,909.81, 13,663.56 and 8,562.99

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Solution

The fourth proportional to 9,909.81, 13,663.56 and 8,562.99 is: 11,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.81 : 13,663.56 = 8,562.99 : x
  2. Step 2: Convert to fraction form
    9,909.81/13,663.56 = 8,562.99/x
  3. Step 3: Cross multiply
    9,909.81x = 13,663.56 × 8,562.99
  4. Step 4: Simplify right side
    9,909.81x = 117,000,927.64
  5. Step 5: Solve for x
    x = 117,000,927.64/9,909.81
  6. Step 6: Final answer
    x = 11,806.58

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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.