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Finding the Fourth Proportional to 4,700.38, 7,046.38 and 1,780.74

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Solution

The fourth proportional to 4,700.38, 7,046.38 and 1,780.74 is: 2,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.38 : 7,046.38 = 1,780.74 : x
  2. Step 2: Convert to fraction form
    4,700.38/7,046.38 = 1,780.74/x
  3. Step 3: Cross multiply
    4,700.38x = 7,046.38 × 1,780.74
  4. Step 4: Simplify right side
    4,700.38x = 12,547,770.72
  5. Step 5: Solve for x
    x = 12,547,770.72/4,700.38
  6. Step 6: Final answer
    x = 2,669.52

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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.