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Finding the Fourth Proportional to 8,805.57, 13,129.81 and 7,827.57

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Solution

The fourth proportional to 8,805.57, 13,129.81 and 7,827.57 is: 11,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805.57 : 13,129.81 = 7,827.57 : x
  2. Step 2: Convert to fraction form
    8,805.57/13,129.81 = 7,827.57/x
  3. Step 3: Cross multiply
    8,805.57x = 13,129.81 × 7,827.57
  4. Step 4: Simplify right side
    8,805.57x = 102,774,506.86
  5. Step 5: Solve for x
    x = 102,774,506.86/8,805.57
  6. Step 6: Final answer
    x = 11,671.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.