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Finding the Fourth Proportional to 9,267.70, 12,789.44 and 5,290.10

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Solution

The fourth proportional to 9,267.70, 12,789.44 and 5,290.10 is: 7,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.70 : 12,789.44 = 5,290.10 : x
  2. Step 2: Convert to fraction form
    9,267.70/12,789.44 = 5,290.10/x
  3. Step 3: Cross multiply
    9,267.70x = 12,789.44 × 5,290.10
  4. Step 4: Simplify right side
    9,267.70x = 67,657,416.54
  5. Step 5: Solve for x
    x = 67,657,416.54/9,267.70
  6. Step 6: Final answer
    x = 7,300.35

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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.