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Finding the Fourth Proportional to 20,552.53, 30,828.81 and 4,970.17

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Solution

The fourth proportional to 20,552.53, 30,828.81 and 4,970.17 is: 7,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.53 : 30,828.81 = 4,970.17 : x
  2. Step 2: Convert to fraction form
    20,552.53/30,828.81 = 4,970.17/x
  3. Step 3: Cross multiply
    20,552.53x = 30,828.81 × 4,970.17
  4. Step 4: Simplify right side
    20,552.53x = 153,224,426.60
  5. Step 5: Solve for x
    x = 153,224,426.60/20,552.53
  6. Step 6: Final answer
    x = 7,455.26

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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.