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Finding the Fourth Proportional to 28,170, 42,269.58 and 14,319

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Solution

The fourth proportional to 28,170, 42,269.58 and 14,319 is: 21,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,170 : 42,269.58 = 14,319 : x
  2. Step 2: Convert to fraction form
    28,170/42,269.58 = 14,319/x
  3. Step 3: Cross multiply
    28,170x = 42,269.58 × 14,319
  4. Step 4: Simplify right side
    28,170x = 605,258,116.02
  5. Step 5: Solve for x
    x = 605,258,116.02/28,170
  6. Step 6: Final answer
    x = 21,485.91

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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.