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Finding the Fourth Proportional to 11,520.84, 15,898.68 and 7,329

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Solution

The fourth proportional to 11,520.84, 15,898.68 and 7,329 is: 10,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.84 : 15,898.68 = 7,329 : x
  2. Step 2: Convert to fraction form
    11,520.84/15,898.68 = 7,329/x
  3. Step 3: Cross multiply
    11,520.84x = 15,898.68 × 7,329
  4. Step 4: Simplify right side
    11,520.84x = 116,521,425.72
  5. Step 5: Solve for x
    x = 116,521,425.72/11,520.84
  6. Step 6: Final answer
    x = 10,113.97

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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.