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Finding the Fourth Proportional to 28,523.26, 42,784.80 and 7,746.76

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Solution

The fourth proportional to 28,523.26, 42,784.80 and 7,746.76 is: 11,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,523.26 : 42,784.80 = 7,746.76 : x
  2. Step 2: Convert to fraction form
    28,523.26/42,784.80 = 7,746.76/x
  3. Step 3: Cross multiply
    28,523.26x = 42,784.80 × 7,746.76
  4. Step 4: Simplify right side
    28,523.26x = 331,443,577.25
  5. Step 5: Solve for x
    x = 331,443,577.25/28,523.26
  6. Step 6: Final answer
    x = 11,620.12

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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.