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Finding the Fourth Proportional to 21,881.79, 32,827.46 and 7,090.38

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Solution

The fourth proportional to 21,881.79, 32,827.46 and 7,090.38 is: 10,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.79 : 32,827.46 = 7,090.38 : x
  2. Step 2: Convert to fraction form
    21,881.79/32,827.46 = 7,090.38/x
  3. Step 3: Cross multiply
    21,881.79x = 32,827.46 × 7,090.38
  4. Step 4: Simplify right side
    21,881.79x = 232,759,130.38
  5. Step 5: Solve for x
    x = 232,759,130.38/21,881.79
  6. Step 6: Final answer
    x = 10,637.12

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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.