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Finding the Fourth Proportional to 21,570.78, 32,356.14 and 6,780.99

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Solution

The fourth proportional to 21,570.78, 32,356.14 and 6,780.99 is: 10,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.78 : 32,356.14 = 6,780.99 : x
  2. Step 2: Convert to fraction form
    21,570.78/32,356.14 = 6,780.99/x
  3. Step 3: Cross multiply
    21,570.78x = 32,356.14 × 6,780.99
  4. Step 4: Simplify right side
    21,570.78x = 219,406,661.78
  5. Step 5: Solve for x
    x = 219,406,661.78/21,570.78
  6. Step 6: Final answer
    x = 10,171.48

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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.