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Finding the Fourth Proportional to 5,260.10, 7,847.04 and 5,117.09

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Solution

The fourth proportional to 5,260.10, 7,847.04 and 5,117.09 is: 7,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.10 : 7,847.04 = 5,117.09 : x
  2. Step 2: Convert to fraction form
    5,260.10/7,847.04 = 5,117.09/x
  3. Step 3: Cross multiply
    5,260.10x = 7,847.04 × 5,117.09
  4. Step 4: Simplify right side
    5,260.10x = 40,154,009.91
  5. Step 5: Solve for x
    x = 40,154,009.91/5,260.10
  6. Step 6: Final answer
    x = 7,633.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.