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Finding the Fourth Proportional to 1,814.58, 2,707.05 and 1,764.36

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Solution

The fourth proportional to 1,814.58, 2,707.05 and 1,764.36 is: 2,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.58 : 2,707.05 = 1,764.36 : x
  2. Step 2: Convert to fraction form
    1,814.58/2,707.05 = 1,764.36/x
  3. Step 3: Cross multiply
    1,814.58x = 2,707.05 × 1,764.36
  4. Step 4: Simplify right side
    1,814.58x = 4,776,210.74
  5. Step 5: Solve for x
    x = 4,776,210.74/1,814.58
  6. Step 6: Final answer
    x = 2,632.13

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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.