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Finding the Fourth Proportional to 10,965.93, 16,455.17 and 4,640.31

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Solution

The fourth proportional to 10,965.93, 16,455.17 and 4,640.31 is: 6,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.93 : 16,455.17 = 4,640.31 : x
  2. Step 2: Convert to fraction form
    10,965.93/16,455.17 = 4,640.31/x
  3. Step 3: Cross multiply
    10,965.93x = 16,455.17 × 4,640.31
  4. Step 4: Simplify right side
    10,965.93x = 76,357,066.70
  5. Step 5: Solve for x
    x = 76,357,066.70/10,965.93
  6. Step 6: Final answer
    x = 6,963.12

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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.