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Finding the Fourth Proportional to 51,074, 70,482.15 and 28,718

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Solution

The fourth proportional to 51,074, 70,482.15 and 28,718 is: 39,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 70,482.15 = 28,718 : x
  2. Step 2: Convert to fraction form
    51,074/70,482.15 = 28,718/x
  3. Step 3: Cross multiply
    51,074x = 70,482.15 × 28,718
  4. Step 4: Simplify right side
    51,074x = 2,024,106,383.70
  5. Step 5: Solve for x
    x = 2,024,106,383.70/51,074
  6. Step 6: Final answer
    x = 39,630.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.