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Finding the Fourth Proportional to 9,413.60, 12,987.07 and 6,580.22

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Solution

The fourth proportional to 9,413.60, 12,987.07 and 6,580.22 is: 9,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.60 : 12,987.07 = 6,580.22 : x
  2. Step 2: Convert to fraction form
    9,413.60/12,987.07 = 6,580.22/x
  3. Step 3: Cross multiply
    9,413.60x = 12,987.07 × 6,580.22
  4. Step 4: Simplify right side
    9,413.60x = 85,457,696.37
  5. Step 5: Solve for x
    x = 85,457,696.37/9,413.60
  6. Step 6: Final answer
    x = 9,078.11

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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.