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Finding the Fourth Proportional to 10,358, 14,293.90 and 5,642.28

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Solution

The fourth proportional to 10,358, 14,293.90 and 5,642.28 is: 7,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358 : 14,293.90 = 5,642.28 : x
  2. Step 2: Convert to fraction form
    10,358/14,293.90 = 5,642.28/x
  3. Step 3: Cross multiply
    10,358x = 14,293.90 × 5,642.28
  4. Step 4: Simplify right side
    10,358x = 80,650,186.09
  5. Step 5: Solve for x
    x = 80,650,186.09/10,358
  6. Step 6: Final answer
    x = 7,786.27

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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.