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Finding the Fourth Proportional to 11,320.02, 15,617.34 and 8,343

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Solution

The fourth proportional to 11,320.02, 15,617.34 and 8,343 is: 11,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.02 : 15,617.34 = 8,343 : x
  2. Step 2: Convert to fraction form
    11,320.02/15,617.34 = 8,343/x
  3. Step 3: Cross multiply
    11,320.02x = 15,617.34 × 8,343
  4. Step 4: Simplify right side
    11,320.02x = 130,295,467.62
  5. Step 5: Solve for x
    x = 130,295,467.62/11,320.02
  6. Step 6: Final answer
    x = 11,510.18

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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.