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Finding the Fourth Proportional to 3,070.78, 4,597.95 and 1,835.12

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Solution

The fourth proportional to 3,070.78, 4,597.95 and 1,835.12 is: 2,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.78 : 4,597.95 = 1,835.12 : x
  2. Step 2: Convert to fraction form
    3,070.78/4,597.95 = 1,835.12/x
  3. Step 3: Cross multiply
    3,070.78x = 4,597.95 × 1,835.12
  4. Step 4: Simplify right side
    3,070.78x = 8,437,808.38
  5. Step 5: Solve for x
    x = 8,437,808.38/3,070.78
  6. Step 6: Final answer
    x = 2,747.78

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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.