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Finding the Fourth Proportional to 1,812.02, 2,695.02 and 1,777.17

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Solution

The fourth proportional to 1,812.02, 2,695.02 and 1,777.17 is: 2,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.02 : 2,695.02 = 1,777.17 : x
  2. Step 2: Convert to fraction form
    1,812.02/2,695.02 = 1,777.17/x
  3. Step 3: Cross multiply
    1,812.02x = 2,695.02 × 1,777.17
  4. Step 4: Simplify right side
    1,812.02x = 4,789,499.39
  5. Step 5: Solve for x
    x = 4,789,499.39/1,812.02
  6. Step 6: Final answer
    x = 2,643.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.