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Finding the Fourth Proportional to 10,463.16, 14,431.63 and 7,640.11

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Solution

The fourth proportional to 10,463.16, 14,431.63 and 7,640.11 is: 10,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.16 : 14,431.63 = 7,640.11 : x
  2. Step 2: Convert to fraction form
    10,463.16/14,431.63 = 7,640.11/x
  3. Step 3: Cross multiply
    10,463.16x = 14,431.63 × 7,640.11
  4. Step 4: Simplify right side
    10,463.16x = 110,259,240.68
  5. Step 5: Solve for x
    x = 110,259,240.68/10,463.16
  6. Step 6: Final answer
    x = 10,537.85

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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.