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Finding the Fourth Proportional to 9,423.44, 13,010.39 and 8,413.40

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Solution

The fourth proportional to 9,423.44, 13,010.39 and 8,413.40 is: 11,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.44 : 13,010.39 = 8,413.40 : x
  2. Step 2: Convert to fraction form
    9,423.44/13,010.39 = 8,413.40/x
  3. Step 3: Cross multiply
    9,423.44x = 13,010.39 × 8,413.40
  4. Step 4: Simplify right side
    9,423.44x = 109,461,637.24
  5. Step 5: Solve for x
    x = 109,461,637.24/9,423.44
  6. Step 6: Final answer
    x = 11,615.89

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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.