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Finding the Fourth Proportional to 7,209.57, 9,948.63 and 4,224.99

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Solution

The fourth proportional to 7,209.57, 9,948.63 and 4,224.99 is: 5,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.57 : 9,948.63 = 4,224.99 : x
  2. Step 2: Convert to fraction form
    7,209.57/9,948.63 = 4,224.99/x
  3. Step 3: Cross multiply
    7,209.57x = 9,948.63 × 4,224.99
  4. Step 4: Simplify right side
    7,209.57x = 42,032,862.26
  5. Step 5: Solve for x
    x = 42,032,862.26/7,209.57
  6. Step 6: Final answer
    x = 5,830.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.