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Finding the Fourth Proportional to 7,827.15, 10,805.63 and 5,322.63

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Solution

The fourth proportional to 7,827.15, 10,805.63 and 5,322.63 is: 7,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.15 : 10,805.63 = 5,322.63 : x
  2. Step 2: Convert to fraction form
    7,827.15/10,805.63 = 5,322.63/x
  3. Step 3: Cross multiply
    7,827.15x = 10,805.63 × 5,322.63
  4. Step 4: Simplify right side
    7,827.15x = 57,514,343.79
  5. Step 5: Solve for x
    x = 57,514,343.79/7,827.15
  6. Step 6: Final answer
    x = 7,348.06

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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.