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Finding the Fourth Proportional to 21,761, 32,477.08 and 19,661.48

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Solution

The fourth proportional to 21,761, 32,477.08 and 19,661.48 is: 29,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761 : 32,477.08 = 19,661.48 : x
  2. Step 2: Convert to fraction form
    21,761/32,477.08 = 19,661.48/x
  3. Step 3: Cross multiply
    21,761x = 32,477.08 × 19,661.48
  4. Step 4: Simplify right side
    21,761x = 638,547,458.88
  5. Step 5: Solve for x
    x = 638,547,458.88/21,761
  6. Step 6: Final answer
    x = 29,343.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.