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Finding the Fourth Proportional to 8,535.70, 11,789.85 and 6,570.10

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Solution

The fourth proportional to 8,535.70, 11,789.85 and 6,570.10 is: 9,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.70 : 11,789.85 = 6,570.10 : x
  2. Step 2: Convert to fraction form
    8,535.70/11,789.85 = 6,570.10/x
  3. Step 3: Cross multiply
    8,535.70x = 11,789.85 × 6,570.10
  4. Step 4: Simplify right side
    8,535.70x = 77,460,493.49
  5. Step 5: Solve for x
    x = 77,460,493.49/8,535.70
  6. Step 6: Final answer
    x = 9,074.88

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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.