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Finding the Fourth Proportional to 10,170, 15,259.56 and 4,624.80

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Solution

The fourth proportional to 10,170, 15,259.56 and 4,624.80 is: 6,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 15,259.56 = 4,624.80 : x
  2. Step 2: Convert to fraction form
    10,170/15,259.56 = 4,624.80/x
  3. Step 3: Cross multiply
    10,170x = 15,259.56 × 4,624.80
  4. Step 4: Simplify right side
    10,170x = 70,572,413.09
  5. Step 5: Solve for x
    x = 70,572,413.09/10,170
  6. Step 6: Final answer
    x = 6,939.27

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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.