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Finding the Fourth Proportional to 29,709.68, 40,912.95 and 27,810.20

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Solution

The fourth proportional to 29,709.68, 40,912.95 and 27,810.20 is: 38,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.68 : 40,912.95 = 27,810.20 : x
  2. Step 2: Convert to fraction form
    29,709.68/40,912.95 = 27,810.20/x
  3. Step 3: Cross multiply
    29,709.68x = 40,912.95 × 27,810.20
  4. Step 4: Simplify right side
    29,709.68x = 1,137,796,978.47
  5. Step 5: Solve for x
    x = 1,137,796,978.47/29,709.68
  6. Step 6: Final answer
    x = 38,297.18

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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.