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Finding the Fourth Proportional to 21,495.84, 32,237.28 and 7,644

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Solution

The fourth proportional to 21,495.84, 32,237.28 and 7,644 is: 11,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495.84 : 32,237.28 = 7,644 : x
  2. Step 2: Convert to fraction form
    21,495.84/32,237.28 = 7,644/x
  3. Step 3: Cross multiply
    21,495.84x = 32,237.28 × 7,644
  4. Step 4: Simplify right side
    21,495.84x = 246,421,768.32
  5. Step 5: Solve for x
    x = 246,421,768.32/21,495.84
  6. Step 6: Final answer
    x = 11,463.70

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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.