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Finding the Fourth Proportional to 21,501.68, 32,261.76 and 11,648

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Solution

The fourth proportional to 21,501.68, 32,261.76 and 11,648 is: 17,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501.68 : 32,261.76 = 11,648 : x
  2. Step 2: Convert to fraction form
    21,501.68/32,261.76 = 11,648/x
  3. Step 3: Cross multiply
    21,501.68x = 32,261.76 × 11,648
  4. Step 4: Simplify right side
    21,501.68x = 375,784,980.48
  5. Step 5: Solve for x
    x = 375,784,980.48/21,501.68
  6. Step 6: Final answer
    x = 17,477.01

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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.