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Finding the Fourth Proportional to 7,161.76, 9,890.74 and 4,929.40

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Solution

The fourth proportional to 7,161.76, 9,890.74 and 4,929.40 is: 6,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.76 : 9,890.74 = 4,929.40 : x
  2. Step 2: Convert to fraction form
    7,161.76/9,890.74 = 4,929.40/x
  3. Step 3: Cross multiply
    7,161.76x = 9,890.74 × 4,929.40
  4. Step 4: Simplify right side
    7,161.76x = 48,755,413.76
  5. Step 5: Solve for x
    x = 48,755,413.76/7,161.76
  6. Step 6: Final answer
    x = 6,807.74

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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.