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Finding the Fourth Proportional to 28,299.48, 42,454.56 and 13,509.48

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Solution

The fourth proportional to 28,299.48, 42,454.56 and 13,509.48 is: 20,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,299.48 : 42,454.56 = 13,509.48 : x
  2. Step 2: Convert to fraction form
    28,299.48/42,454.56 = 13,509.48/x
  3. Step 3: Cross multiply
    28,299.48x = 42,454.56 × 13,509.48
  4. Step 4: Simplify right side
    28,299.48x = 573,539,029.23
  5. Step 5: Solve for x
    x = 573,539,029.23/28,299.48
  6. Step 6: Final answer
    x = 20,266.77

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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.