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Finding the Fourth Proportional to 13,140.10, 19,710.30 and 4,375

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Solution

The fourth proportional to 13,140.10, 19,710.30 and 4,375 is: 6,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.10 : 19,710.30 = 4,375 : x
  2. Step 2: Convert to fraction form
    13,140.10/19,710.30 = 4,375/x
  3. Step 3: Cross multiply
    13,140.10x = 19,710.30 × 4,375
  4. Step 4: Simplify right side
    13,140.10x = 86,232,562.50
  5. Step 5: Solve for x
    x = 86,232,562.50/13,140.10
  6. Step 6: Final answer
    x = 6,562.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.