Home / 1,688.13-2,531.79-810.09

Finding the Fourth Proportional to 1,688.13, 2,531.79 and 810.09

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Solution

The fourth proportional to 1,688.13, 2,531.79 and 810.09 is: 1,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.13 : 2,531.79 = 810.09 : x
  2. Step 2: Convert to fraction form
    1,688.13/2,531.79 = 810.09/x
  3. Step 3: Cross multiply
    1,688.13x = 2,531.79 × 810.09
  4. Step 4: Simplify right side
    1,688.13x = 2,050,977.76
  5. Step 5: Solve for x
    x = 2,050,977.76/1,688.13
  6. Step 6: Final answer
    x = 1,214.94

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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.