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Finding the Fourth Proportional to 9,578.61, 14,362.83 and 8,470.71

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Solution

The fourth proportional to 9,578.61, 14,362.83 and 8,470.71 is: 12,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.61 : 14,362.83 = 8,470.71 : x
  2. Step 2: Convert to fraction form
    9,578.61/14,362.83 = 8,470.71/x
  3. Step 3: Cross multiply
    9,578.61x = 14,362.83 × 8,470.71
  4. Step 4: Simplify right side
    9,578.61x = 121,663,367.71
  5. Step 5: Solve for x
    x = 121,663,367.71/9,578.61
  6. Step 6: Final answer
    x = 12,701.57

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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.