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Finding the Fourth Proportional to 8,590.64, 12,783.07 and 8,561.48

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Solution

The fourth proportional to 8,590.64, 12,783.07 and 8,561.48 is: 12,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.64 : 12,783.07 = 8,561.48 : x
  2. Step 2: Convert to fraction form
    8,590.64/12,783.07 = 8,561.48/x
  3. Step 3: Cross multiply
    8,590.64x = 12,783.07 × 8,561.48
  4. Step 4: Simplify right side
    8,590.64x = 109,441,944.93
  5. Step 5: Solve for x
    x = 109,441,944.93/8,590.64
  6. Step 6: Final answer
    x = 12,739.68

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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.