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Finding the Fourth Proportional to 3,167.61, 4,752.64 and 1,918.22

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Solution

The fourth proportional to 3,167.61, 4,752.64 and 1,918.22 is: 2,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.61 : 4,752.64 = 1,918.22 : x
  2. Step 2: Convert to fraction form
    3,167.61/4,752.64 = 1,918.22/x
  3. Step 3: Cross multiply
    3,167.61x = 4,752.64 × 1,918.22
  4. Step 4: Simplify right side
    3,167.61x = 9,116,587.74
  5. Step 5: Solve for x
    x = 9,116,587.74/3,167.61
  6. Step 6: Final answer
    x = 2,878.07

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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.