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Finding the Fourth Proportional to 11,572.88, 15,978.50 and 7,386.80

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Solution

The fourth proportional to 11,572.88, 15,978.50 and 7,386.80 is: 10,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.88 : 15,978.50 = 7,386.80 : x
  2. Step 2: Convert to fraction form
    11,572.88/15,978.50 = 7,386.80/x
  3. Step 3: Cross multiply
    11,572.88x = 15,978.50 × 7,386.80
  4. Step 4: Simplify right side
    11,572.88x = 118,029,983.80
  5. Step 5: Solve for x
    x = 118,029,983.80/11,572.88
  6. Step 6: Final answer
    x = 10,198.84

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1.5x scale

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.