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Finding the Fourth Proportional to 10,608.82, 15,898.15 and 7,813.51

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Solution

The fourth proportional to 10,608.82, 15,898.15 and 7,813.51 is: 11,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.82 : 15,898.15 = 7,813.51 : x
  2. Step 2: Convert to fraction form
    10,608.82/15,898.15 = 7,813.51/x
  3. Step 3: Cross multiply
    10,608.82x = 15,898.15 × 7,813.51
  4. Step 4: Simplify right side
    10,608.82x = 124,220,391.48
  5. Step 5: Solve for x
    x = 124,220,391.48/10,608.82
  6. Step 6: Final answer
    x = 11,709.16

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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.