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Finding the Fourth Proportional to 10,491.23, 15,736.82 and 7,385.08

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Solution

The fourth proportional to 10,491.23, 15,736.82 and 7,385.08 is: 11,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.23 : 15,736.82 = 7,385.08 : x
  2. Step 2: Convert to fraction form
    10,491.23/15,736.82 = 7,385.08/x
  3. Step 3: Cross multiply
    10,491.23x = 15,736.82 × 7,385.08
  4. Step 4: Simplify right side
    10,491.23x = 116,217,674.65
  5. Step 5: Solve for x
    x = 116,217,674.65/10,491.23
  6. Step 6: Final answer
    x = 11,077.60

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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.