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Finding the Fourth Proportional to 21,935.86, 32,896.02 and 7,142.02

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Solution

The fourth proportional to 21,935.86, 32,896.02 and 7,142.02 is: 10,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.86 : 32,896.02 = 7,142.02 : x
  2. Step 2: Convert to fraction form
    21,935.86/32,896.02 = 7,142.02/x
  3. Step 3: Cross multiply
    21,935.86x = 32,896.02 × 7,142.02
  4. Step 4: Simplify right side
    21,935.86x = 234,944,032.76
  5. Step 5: Solve for x
    x = 234,944,032.76/21,935.86
  6. Step 6: Final answer
    x = 10,710.50

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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.