Home / 1,709.29-2,578.15-1,506.40

Finding the Fourth Proportional to 1,709.29, 2,578.15 and 1,506.40

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Solution

The fourth proportional to 1,709.29, 2,578.15 and 1,506.40 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.29 : 2,578.15 = 1,506.40 : x
  2. Step 2: Convert to fraction form
    1,709.29/2,578.15 = 1,506.40/x
  3. Step 3: Cross multiply
    1,709.29x = 2,578.15 × 1,506.40
  4. Step 4: Simplify right side
    1,709.29x = 3,883,725.16
  5. Step 5: Solve for x
    x = 3,883,725.16/1,709.29
  6. Step 6: Final answer
    x = 2,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.