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Finding the Fourth Proportional to 20,552.78, 30,829.18 and 4,970.40

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Solution

The fourth proportional to 20,552.78, 30,829.18 and 4,970.40 is: 7,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.78 : 30,829.18 = 4,970.40 : x
  2. Step 2: Convert to fraction form
    20,552.78/30,829.18 = 4,970.40/x
  3. Step 3: Cross multiply
    20,552.78x = 30,829.18 × 4,970.40
  4. Step 4: Simplify right side
    20,552.78x = 153,233,356.27
  5. Step 5: Solve for x
    x = 153,233,356.27/20,552.78
  6. Step 6: Final answer
    x = 7,455.60

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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.