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Finding the Fourth Proportional to 19,981, 29,977.37 and 5,941.14

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Solution

The fourth proportional to 19,981, 29,977.37 and 5,941.14 is: 8,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981 : 29,977.37 = 5,941.14 : x
  2. Step 2: Convert to fraction form
    19,981/29,977.37 = 5,941.14/x
  3. Step 3: Cross multiply
    19,981x = 29,977.37 × 5,941.14
  4. Step 4: Simplify right side
    19,981x = 178,099,752.00
  5. Step 5: Solve for x
    x = 178,099,752.00/19,981
  6. Step 6: Final answer
    x = 8,913.46

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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.