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Finding the Fourth Proportional to 10,653.63, 15,980.43 and 2,862.44

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Solution

The fourth proportional to 10,653.63, 15,980.43 and 2,862.44 is: 4,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.63 : 15,980.43 = 2,862.44 : x
  2. Step 2: Convert to fraction form
    10,653.63/15,980.43 = 2,862.44/x
  3. Step 3: Cross multiply
    10,653.63x = 15,980.43 × 2,862.44
  4. Step 4: Simplify right side
    10,653.63x = 45,743,012.81
  5. Step 5: Solve for x
    x = 45,743,012.81/10,653.63
  6. Step 6: Final answer
    x = 4,293.66

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Similar ratio
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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.