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Finding the Fourth Proportional to 2,151.92, 2,971.07 and 1,653.63

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Solution

The fourth proportional to 2,151.92, 2,971.07 and 1,653.63 is: 2,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.92 : 2,971.07 = 1,653.63 : x
  2. Step 2: Convert to fraction form
    2,151.92/2,971.07 = 1,653.63/x
  3. Step 3: Cross multiply
    2,151.92x = 2,971.07 × 1,653.63
  4. Step 4: Simplify right side
    2,151.92x = 4,913,042.22
  5. Step 5: Solve for x
    x = 4,913,042.22/2,151.92
  6. Step 6: Final answer
    x = 2,283.10

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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.