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Finding the Fourth Proportional to 28,205.68, 42,305.16 and 7,430.80

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Solution

The fourth proportional to 28,205.68, 42,305.16 and 7,430.80 is: 11,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.68 : 42,305.16 = 7,430.80 : x
  2. Step 2: Convert to fraction form
    28,205.68/42,305.16 = 7,430.80/x
  3. Step 3: Cross multiply
    28,205.68x = 42,305.16 × 7,430.80
  4. Step 4: Simplify right side
    28,205.68x = 314,361,182.93
  5. Step 5: Solve for x
    x = 314,361,182.93/28,205.68
  6. Step 6: Final answer
    x = 11,145.31

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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.