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Finding the Fourth Proportional to 3,130.10, 4,694.97 and 790.07

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Solution

The fourth proportional to 3,130.10, 4,694.97 and 790.07 is: 1,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.10 : 4,694.97 = 790.07 : x
  2. Step 2: Convert to fraction form
    3,130.10/4,694.97 = 790.07/x
  3. Step 3: Cross multiply
    3,130.10x = 4,694.97 × 790.07
  4. Step 4: Simplify right side
    3,130.10x = 3,709,354.95
  5. Step 5: Solve for x
    x = 3,709,354.95/3,130.10
  6. Step 6: Final answer
    x = 1,185.06

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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.