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Finding the Fourth Proportional to 11,452.94, 15,804.16 and 6,416.78

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Solution

The fourth proportional to 11,452.94, 15,804.16 and 6,416.78 is: 8,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.94 : 15,804.16 = 6,416.78 : x
  2. Step 2: Convert to fraction form
    11,452.94/15,804.16 = 6,416.78/x
  3. Step 3: Cross multiply
    11,452.94x = 15,804.16 × 6,416.78
  4. Step 4: Simplify right side
    11,452.94x = 101,411,817.80
  5. Step 5: Solve for x
    x = 101,411,817.80/11,452.94
  6. Step 6: Final answer
    x = 8,854.65

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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.