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Finding the Fourth Proportional to 20,552.54, 30,828.80 and 4,970.16

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Solution

The fourth proportional to 20,552.54, 30,828.80 and 4,970.16 is: 7,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.54 : 30,828.80 = 4,970.16 : x
  2. Step 2: Convert to fraction form
    20,552.54/30,828.80 = 4,970.16/x
  3. Step 3: Cross multiply
    20,552.54x = 30,828.80 × 4,970.16
  4. Step 4: Simplify right side
    20,552.54x = 153,224,081.03
  5. Step 5: Solve for x
    x = 153,224,081.03/20,552.54
  6. Step 6: Final answer
    x = 7,455.24

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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.