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Finding the Fourth Proportional to 21,678, 32,461.90 and 19,681.08

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Solution

The fourth proportional to 21,678, 32,461.90 and 19,681.08 is: 29,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 32,461.90 = 19,681.08 : x
  2. Step 2: Convert to fraction form
    21,678/32,461.90 = 19,681.08/x
  3. Step 3: Cross multiply
    21,678x = 32,461.90 × 19,681.08
  4. Step 4: Simplify right side
    21,678x = 638,885,250.85
  5. Step 5: Solve for x
    x = 638,885,250.85/21,678
  6. Step 6: Final answer
    x = 29,471.60

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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.