Home / 1,547.10-2,317.14-817.56

Finding the Fourth Proportional to 1,547.10, 2,317.14 and 817.56

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Solution

The fourth proportional to 1,547.10, 2,317.14 and 817.56 is: 1,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.10 : 2,317.14 = 817.56 : x
  2. Step 2: Convert to fraction form
    1,547.10/2,317.14 = 817.56/x
  3. Step 3: Cross multiply
    1,547.10x = 2,317.14 × 817.56
  4. Step 4: Simplify right side
    1,547.10x = 1,894,400.98
  5. Step 5: Solve for x
    x = 1,894,400.98/1,547.10
  6. Step 6: Final answer
    x = 1,224.49

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1.5x scale

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.