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Finding the Fourth Proportional to 10,382.64, 14,328 and 5,666.91

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Solution

The fourth proportional to 10,382.64, 14,328 and 5,666.91 is: 7,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.64 : 14,328 = 5,666.91 : x
  2. Step 2: Convert to fraction form
    10,382.64/14,328 = 5,666.91/x
  3. Step 3: Cross multiply
    10,382.64x = 14,328 × 5,666.91
  4. Step 4: Simplify right side
    10,382.64x = 81,195,486.48
  5. Step 5: Solve for x
    x = 81,195,486.48/10,382.64
  6. Step 6: Final answer
    x = 7,820.31

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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.