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Finding the Fourth Proportional to 8,705.20, 13,036.20 and 6,977.20

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Solution

The fourth proportional to 8,705.20, 13,036.20 and 6,977.20 is: 10,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.20 : 13,036.20 = 6,977.20 : x
  2. Step 2: Convert to fraction form
    8,705.20/13,036.20 = 6,977.20/x
  3. Step 3: Cross multiply
    8,705.20x = 13,036.20 × 6,977.20
  4. Step 4: Simplify right side
    8,705.20x = 90,956,174.64
  5. Step 5: Solve for x
    x = 90,956,174.64/8,705.20
  6. Step 6: Final answer
    x = 10,448.49

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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.