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Finding the Fourth Proportional to 8,162.80, 11,258.40 and 5,506

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Solution

The fourth proportional to 8,162.80, 11,258.40 and 5,506 is: 7,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.80 : 11,258.40 = 5,506 : x
  2. Step 2: Convert to fraction form
    8,162.80/11,258.40 = 5,506/x
  3. Step 3: Cross multiply
    8,162.80x = 11,258.40 × 5,506
  4. Step 4: Simplify right side
    8,162.80x = 61,988,750.40
  5. Step 5: Solve for x
    x = 61,988,750.40/8,162.80
  6. Step 6: Final answer
    x = 7,594.05

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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.