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Finding the Fourth Proportional to 3,130.87, 4,696.21 and 790.87

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Solution

The fourth proportional to 3,130.87, 4,696.21 and 790.87 is: 1,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.87 : 4,696.21 = 790.87 : x
  2. Step 2: Convert to fraction form
    3,130.87/4,696.21 = 790.87/x
  3. Step 3: Cross multiply
    3,130.87x = 4,696.21 × 790.87
  4. Step 4: Simplify right side
    3,130.87x = 3,714,091.60
  5. Step 5: Solve for x
    x = 3,714,091.60/3,130.87
  6. Step 6: Final answer
    x = 1,186.28

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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.