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Finding the Fourth Proportional to 11,506.79, 17,234.88 and 9,509.79

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Solution

The fourth proportional to 11,506.79, 17,234.88 and 9,509.79 is: 14,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.79 : 17,234.88 = 9,509.79 : x
  2. Step 2: Convert to fraction form
    11,506.79/17,234.88 = 9,509.79/x
  3. Step 3: Cross multiply
    11,506.79x = 17,234.88 × 9,509.79
  4. Step 4: Simplify right side
    11,506.79x = 163,900,089.48
  5. Step 5: Solve for x
    x = 163,900,089.48/11,506.79
  6. Step 6: Final answer
    x = 14,243.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.