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Finding the Fourth Proportional to 21,983.16, 32,977.98 and 6,402

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Solution

The fourth proportional to 21,983.16, 32,977.98 and 6,402 is: 9,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.16 : 32,977.98 = 6,402 : x
  2. Step 2: Convert to fraction form
    21,983.16/32,977.98 = 6,402/x
  3. Step 3: Cross multiply
    21,983.16x = 32,977.98 × 6,402
  4. Step 4: Simplify right side
    21,983.16x = 211,125,027.96
  5. Step 5: Solve for x
    x = 211,125,027.96/21,983.16
  6. Step 6: Final answer
    x = 9,603.94

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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.