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Finding the Fourth Proportional to 10,415.70, 14,356.17 and 7,896.99

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Solution

The fourth proportional to 10,415.70, 14,356.17 and 7,896.99 is: 10,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.70 : 14,356.17 = 7,896.99 : x
  2. Step 2: Convert to fraction form
    10,415.70/14,356.17 = 7,896.99/x
  3. Step 3: Cross multiply
    10,415.70x = 14,356.17 × 7,896.99
  4. Step 4: Simplify right side
    10,415.70x = 113,370,530.93
  5. Step 5: Solve for x
    x = 113,370,530.93/10,415.70
  6. Step 6: Final answer
    x = 10,884.58

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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.