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Finding the Fourth Proportional to 29,477.09, 40,665.23 and 19,913.90

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Solution

The fourth proportional to 29,477.09, 40,665.23 and 19,913.90 is: 27,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.09 : 40,665.23 = 19,913.90 : x
  2. Step 2: Convert to fraction form
    29,477.09/40,665.23 = 19,913.90/x
  3. Step 3: Cross multiply
    29,477.09x = 40,665.23 × 19,913.90
  4. Step 4: Simplify right side
    29,477.09x = 809,803,170.16
  5. Step 5: Solve for x
    x = 809,803,170.16/29,477.09
  6. Step 6: Final answer
    x = 27,472.29

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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.