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Finding the Fourth Proportional to 21,430.40, 32,147.72 and 7,388.58

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Solution

The fourth proportional to 21,430.40, 32,147.72 and 7,388.58 is: 11,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.40 : 32,147.72 = 7,388.58 : x
  2. Step 2: Convert to fraction form
    21,430.40/32,147.72 = 7,388.58/x
  3. Step 3: Cross multiply
    21,430.40x = 32,147.72 × 7,388.58
  4. Step 4: Simplify right side
    21,430.40x = 237,526,001.04
  5. Step 5: Solve for x
    x = 237,526,001.04/21,430.40
  6. Step 6: Final answer
    x = 11,083.60

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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.