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Finding the Fourth Proportional to 20,652.54, 30,978.83 and 5,070.16

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Solution

The fourth proportional to 20,652.54, 30,978.83 and 5,070.16 is: 7,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.54 : 30,978.83 = 5,070.16 : x
  2. Step 2: Convert to fraction form
    20,652.54/30,978.83 = 5,070.16/x
  3. Step 3: Cross multiply
    20,652.54x = 30,978.83 × 5,070.16
  4. Step 4: Simplify right side
    20,652.54x = 157,067,624.71
  5. Step 5: Solve for x
    x = 157,067,624.71/20,652.54
  6. Step 6: Final answer
    x = 7,605.24

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1.5x scale

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.