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Finding the Fourth Proportional to 1,809.36, 2,714.04 and 510.81

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Solution

The fourth proportional to 1,809.36, 2,714.04 and 510.81 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.36 : 2,714.04 = 510.81 : x
  2. Step 2: Convert to fraction form
    1,809.36/2,714.04 = 510.81/x
  3. Step 3: Cross multiply
    1,809.36x = 2,714.04 × 510.81
  4. Step 4: Simplify right side
    1,809.36x = 1,386,358.77
  5. Step 5: Solve for x
    x = 1,386,358.77/1,809.36
  6. Step 6: Final answer
    x = 766.22

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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.