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Finding the Fourth Proportional to 15,920.53, 21,970.58 and 9,114.52

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Solution

The fourth proportional to 15,920.53, 21,970.58 and 9,114.52 is: 12,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.53 : 21,970.58 = 9,114.52 : x
  2. Step 2: Convert to fraction form
    15,920.53/21,970.58 = 9,114.52/x
  3. Step 3: Cross multiply
    15,920.53x = 21,970.58 × 9,114.52
  4. Step 4: Simplify right side
    15,920.53x = 200,251,399.36
  5. Step 5: Solve for x
    x = 200,251,399.36/15,920.53
  6. Step 6: Final answer
    x = 12,578.19

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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.