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Finding the Fourth Proportional to 10,389.88, 14,338.11 and 5,674.16

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Solution

The fourth proportional to 10,389.88, 14,338.11 and 5,674.16 is: 7,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.88 : 14,338.11 = 5,674.16 : x
  2. Step 2: Convert to fraction form
    10,389.88/14,338.11 = 5,674.16/x
  3. Step 3: Cross multiply
    10,389.88x = 14,338.11 × 5,674.16
  4. Step 4: Simplify right side
    10,389.88x = 81,356,701.87
  5. Step 5: Solve for x
    x = 81,356,701.87/10,389.88
  6. Step 6: Final answer
    x = 7,830.38

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Half scale
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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.