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Finding the Fourth Proportional to 10,445.70, 14,415 and 5,730

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Solution

The fourth proportional to 10,445.70, 14,415 and 5,730 is: 7,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.70 : 14,415 = 5,730 : x
  2. Step 2: Convert to fraction form
    10,445.70/14,415 = 5,730/x
  3. Step 3: Cross multiply
    10,445.70x = 14,415 × 5,730
  4. Step 4: Simplify right side
    10,445.70x = 82,597,950
  5. Step 5: Solve for x
    x = 82,597,950/10,445.70
  6. Step 6: Final answer
    x = 7,907.36

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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.