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Finding the Fourth Proportional to 10,505.98, 15,758.96 and 7,209.08

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Solution

The fourth proportional to 10,505.98, 15,758.96 and 7,209.08 is: 10,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.98 : 15,758.96 = 7,209.08 : x
  2. Step 2: Convert to fraction form
    10,505.98/15,758.96 = 7,209.08/x
  3. Step 3: Cross multiply
    10,505.98x = 15,758.96 × 7,209.08
  4. Step 4: Simplify right side
    10,505.98x = 113,607,603.36
  5. Step 5: Solve for x
    x = 113,607,603.36/10,505.98
  6. Step 6: Final answer
    x = 10,813.61

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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.