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Finding the Fourth Proportional to 21,501.76, 32,254.64 and 7,459.60

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Solution

The fourth proportional to 21,501.76, 32,254.64 and 7,459.60 is: 11,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.76 : 32,254.64 = 7,459.60 : x
  2. Step 2: Convert to fraction form
    21,501.76/32,254.64 = 7,459.60/x
  3. Step 3: Cross multiply
    21,501.76x = 32,254.64 × 7,459.60
  4. Step 4: Simplify right side
    21,501.76x = 240,606,712.54
  5. Step 5: Solve for x
    x = 240,606,712.54/21,501.76
  6. Step 6: Final answer
    x = 11,190.09

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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.