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Finding the Fourth Proportional to 2,547.10, 3,820.74 and 815.50

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Solution

The fourth proportional to 2,547.10, 3,820.74 and 815.50 is: 1,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.10 : 3,820.74 = 815.50 : x
  2. Step 2: Convert to fraction form
    2,547.10/3,820.74 = 815.50/x
  3. Step 3: Cross multiply
    2,547.10x = 3,820.74 × 815.50
  4. Step 4: Simplify right side
    2,547.10x = 3,115,813.47
  5. Step 5: Solve for x
    x = 3,115,813.47/2,547.10
  6. Step 6: Final answer
    x = 1,223.28

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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.