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Finding the Fourth Proportional to 9,291.81, 12,821.05 and 5,258.62

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Solution

The fourth proportional to 9,291.81, 12,821.05 and 5,258.62 is: 7,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.81 : 12,821.05 = 5,258.62 : x
  2. Step 2: Convert to fraction form
    9,291.81/12,821.05 = 5,258.62/x
  3. Step 3: Cross multiply
    9,291.81x = 12,821.05 × 5,258.62
  4. Step 4: Simplify right side
    9,291.81x = 67,421,029.95
  5. Step 5: Solve for x
    x = 67,421,029.95/9,291.81
  6. Step 6: Final answer
    x = 7,255.96

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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.