Home / 1,547.14-2,314.77-1,085.71

Finding the Fourth Proportional to 1,547.14, 2,314.77 and 1,085.71

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Solution

The fourth proportional to 1,547.14, 2,314.77 and 1,085.71 is: 1,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.14 : 2,314.77 = 1,085.71 : x
  2. Step 2: Convert to fraction form
    1,547.14/2,314.77 = 1,085.71/x
  3. Step 3: Cross multiply
    1,547.14x = 2,314.77 × 1,085.71
  4. Step 4: Simplify right side
    1,547.14x = 2,513,168.94
  5. Step 5: Solve for x
    x = 2,513,168.94/1,547.14
  6. Step 6: Final answer
    x = 1,624.40

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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.