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Finding the Fourth Proportional to 10,430, 14,393.40 and 5,714.46

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Solution

The fourth proportional to 10,430, 14,393.40 and 5,714.46 is: 7,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 14,393.40 = 5,714.46 : x
  2. Step 2: Convert to fraction form
    10,430/14,393.40 = 5,714.46/x
  3. Step 3: Cross multiply
    10,430x = 14,393.40 × 5,714.46
  4. Step 4: Simplify right side
    10,430x = 82,250,508.56
  5. Step 5: Solve for x
    x = 82,250,508.56/10,430
  6. Step 6: Final answer
    x = 7,885.95

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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.