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Finding the Fourth Proportional to 15,777.80, 21,774.42 and 9,065.60

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Solution

The fourth proportional to 15,777.80, 21,774.42 and 9,065.60 is: 12,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.80 : 21,774.42 = 9,065.60 : x
  2. Step 2: Convert to fraction form
    15,777.80/21,774.42 = 9,065.60/x
  3. Step 3: Cross multiply
    15,777.80x = 21,774.42 × 9,065.60
  4. Step 4: Simplify right side
    15,777.80x = 197,398,181.95
  5. Step 5: Solve for x
    x = 197,398,181.95/15,777.80
  6. Step 6: Final answer
    x = 12,511.13

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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.