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Finding the Fourth Proportional to 21,655.48, 32,468.82 and 7,802.68

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Solution

The fourth proportional to 21,655.48, 32,468.82 and 7,802.68 is: 11,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.48 : 32,468.82 = 7,802.68 : x
  2. Step 2: Convert to fraction form
    21,655.48/32,468.82 = 7,802.68/x
  3. Step 3: Cross multiply
    21,655.48x = 32,468.82 × 7,802.68
  4. Step 4: Simplify right side
    21,655.48x = 253,343,812.44
  5. Step 5: Solve for x
    x = 253,343,812.44/21,655.48
  6. Step 6: Final answer
    x = 11,698.83

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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.