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Finding the Fourth Proportional to 21,513.90, 32,283.54 and 9,036.12

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Solution

The fourth proportional to 21,513.90, 32,283.54 and 9,036.12 is: 13,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.90 : 32,283.54 = 9,036.12 : x
  2. Step 2: Convert to fraction form
    21,513.90/32,283.54 = 9,036.12/x
  3. Step 3: Cross multiply
    21,513.90x = 32,283.54 × 9,036.12
  4. Step 4: Simplify right side
    21,513.90x = 291,717,941.46
  5. Step 5: Solve for x
    x = 291,717,941.46/21,513.90
  6. Step 6: Final answer
    x = 13,559.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.