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Finding the Fourth Proportional to 21,410.48, 32,112.88 and 9,721.01

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Solution

The fourth proportional to 21,410.48, 32,112.88 and 9,721.01 is: 14,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.48 : 32,112.88 = 9,721.01 : x
  2. Step 2: Convert to fraction form
    21,410.48/32,112.88 = 9,721.01/x
  3. Step 3: Cross multiply
    21,410.48x = 32,112.88 × 9,721.01
  4. Step 4: Simplify right side
    21,410.48x = 312,169,442.74
  5. Step 5: Solve for x
    x = 312,169,442.74/21,410.48
  6. Step 6: Final answer
    x = 14,580.22

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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.