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Finding the Fourth Proportional to 9,826.80, 13,545.06 and 8,547.41

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Solution

The fourth proportional to 9,826.80, 13,545.06 and 8,547.41 is: 11,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.80 : 13,545.06 = 8,547.41 : x
  2. Step 2: Convert to fraction form
    9,826.80/13,545.06 = 8,547.41/x
  3. Step 3: Cross multiply
    9,826.80x = 13,545.06 × 8,547.41
  4. Step 4: Simplify right side
    9,826.80x = 115,775,113.57
  5. Step 5: Solve for x
    x = 115,775,113.57/9,826.80
  6. Step 6: Final answer
    x = 11,781.57

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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.