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Finding the Fourth Proportional to 10,413.60, 15,620.40 and 6,266.40

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Solution

The fourth proportional to 10,413.60, 15,620.40 and 6,266.40 is: 9,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.60 : 15,620.40 = 6,266.40 : x
  2. Step 2: Convert to fraction form
    10,413.60/15,620.40 = 6,266.40/x
  3. Step 3: Cross multiply
    10,413.60x = 15,620.40 × 6,266.40
  4. Step 4: Simplify right side
    10,413.60x = 97,883,674.56
  5. Step 5: Solve for x
    x = 97,883,674.56/10,413.60
  6. Step 6: Final answer
    x = 9,399.60

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1.5x scale

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.