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Finding the Fourth Proportional to 21,578.16, 32,368.70 and 7,340.82

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Solution

The fourth proportional to 21,578.16, 32,368.70 and 7,340.82 is: 11,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.16 : 32,368.70 = 7,340.82 : x
  2. Step 2: Convert to fraction form
    21,578.16/32,368.70 = 7,340.82/x
  3. Step 3: Cross multiply
    21,578.16x = 32,368.70 × 7,340.82
  4. Step 4: Simplify right side
    21,578.16x = 237,612,800.33
  5. Step 5: Solve for x
    x = 237,612,800.33/21,578.16
  6. Step 6: Final answer
    x = 11,011.73

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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.