Home / 10,518.12-15,773.76-9,828

Finding the Fourth Proportional to 10,518.12, 15,773.76 and 9,828

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Solution

The fourth proportional to 10,518.12, 15,773.76 and 9,828 is: 14,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.12 : 15,773.76 = 9,828 : x
  2. Step 2: Convert to fraction form
    10,518.12/15,773.76 = 9,828/x
  3. Step 3: Cross multiply
    10,518.12x = 15,773.76 × 9,828
  4. Step 4: Simplify right side
    10,518.12x = 155,024,513.28
  5. Step 5: Solve for x
    x = 155,024,513.28/10,518.12
  6. Step 6: Final answer
    x = 14,738.80

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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.