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Finding the Fourth Proportional to 2,981.17, 4,471.75 and 790.07

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Solution

The fourth proportional to 2,981.17, 4,471.75 and 790.07 is: 1,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.17 : 4,471.75 = 790.07 : x
  2. Step 2: Convert to fraction form
    2,981.17/4,471.75 = 790.07/x
  3. Step 3: Cross multiply
    2,981.17x = 4,471.75 × 790.07
  4. Step 4: Simplify right side
    2,981.17x = 3,532,969.21
  5. Step 5: Solve for x
    x = 3,532,969.21/2,981.17
  6. Step 6: Final answer
    x = 1,185.10

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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.