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Finding the Fourth Proportional to 2,547.66, 3,820.74 and 1,315.44

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Solution

The fourth proportional to 2,547.66, 3,820.74 and 1,315.44 is: 1,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.66 : 3,820.74 = 1,315.44 : x
  2. Step 2: Convert to fraction form
    2,547.66/3,820.74 = 1,315.44/x
  3. Step 3: Cross multiply
    2,547.66x = 3,820.74 × 1,315.44
  4. Step 4: Simplify right side
    2,547.66x = 5,025,954.23
  5. Step 5: Solve for x
    x = 5,025,954.23/2,547.66
  6. Step 6: Final answer
    x = 1,972.77

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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.