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Finding the Fourth Proportional to 2,969.66, 4,098.30 and 2,085.68

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Solution

The fourth proportional to 2,969.66, 4,098.30 and 2,085.68 is: 2,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.66 : 4,098.30 = 2,085.68 : x
  2. Step 2: Convert to fraction form
    2,969.66/4,098.30 = 2,085.68/x
  3. Step 3: Cross multiply
    2,969.66x = 4,098.30 × 2,085.68
  4. Step 4: Simplify right side
    2,969.66x = 8,547,742.34
  5. Step 5: Solve for x
    x = 8,547,742.34/2,969.66
  6. Step 6: Final answer
    x = 2,878.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.