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Finding the Fourth Proportional to 19,782.64, 29,672.80 and 4,991.50

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Solution

The fourth proportional to 19,782.64, 29,672.80 and 4,991.50 is: 7,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.64 : 29,672.80 = 4,991.50 : x
  2. Step 2: Convert to fraction form
    19,782.64/29,672.80 = 4,991.50/x
  3. Step 3: Cross multiply
    19,782.64x = 29,672.80 × 4,991.50
  4. Step 4: Simplify right side
    19,782.64x = 148,111,781.20
  5. Step 5: Solve for x
    x = 148,111,781.20/19,782.64
  6. Step 6: Final answer
    x = 7,486.96

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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.