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Finding the Fourth Proportional to 10,765.66, 14,847.68 and 7,745.18

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Solution

The fourth proportional to 10,765.66, 14,847.68 and 7,745.18 is: 10,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.66 : 14,847.68 = 7,745.18 : x
  2. Step 2: Convert to fraction form
    10,765.66/14,847.68 = 7,745.18/x
  3. Step 3: Cross multiply
    10,765.66x = 14,847.68 × 7,745.18
  4. Step 4: Simplify right side
    10,765.66x = 114,997,954.18
  5. Step 5: Solve for x
    x = 114,997,954.18/10,765.66
  6. Step 6: Final answer
    x = 10,681.92

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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.