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Finding the Fourth Proportional to 10,619.80, 15,897.30 and 9,453.40

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Solution

The fourth proportional to 10,619.80, 15,897.30 and 9,453.40 is: 14,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.80 : 15,897.30 = 9,453.40 : x
  2. Step 2: Convert to fraction form
    10,619.80/15,897.30 = 9,453.40/x
  3. Step 3: Cross multiply
    10,619.80x = 15,897.30 × 9,453.40
  4. Step 4: Simplify right side
    10,619.80x = 150,283,535.82
  5. Step 5: Solve for x
    x = 150,283,535.82/10,619.80
  6. Step 6: Final answer
    x = 14,151.26

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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.