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Finding the Fourth Proportional to 10,617.84, 15,911.82 and 7,983.63

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Solution

The fourth proportional to 10,617.84, 15,911.82 and 7,983.63 is: 11,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.84 : 15,911.82 = 7,983.63 : x
  2. Step 2: Convert to fraction form
    10,617.84/15,911.82 = 7,983.63/x
  3. Step 3: Cross multiply
    10,617.84x = 15,911.82 × 7,983.63
  4. Step 4: Simplify right side
    10,617.84x = 127,034,083.51
  5. Step 5: Solve for x
    x = 127,034,083.51/10,617.84
  6. Step 6: Final answer
    x = 11,964.21

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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.