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Finding the Fourth Proportional to 8,376.86, 12,565.64 and 2,830.77

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Solution

The fourth proportional to 8,376.86, 12,565.64 and 2,830.77 is: 4,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.86 : 12,565.64 = 2,830.77 : x
  2. Step 2: Convert to fraction form
    8,376.86/12,565.64 = 2,830.77/x
  3. Step 3: Cross multiply
    8,376.86x = 12,565.64 × 2,830.77
  4. Step 4: Simplify right side
    8,376.86x = 35,570,443.82
  5. Step 5: Solve for x
    x = 35,570,443.82/8,376.86
  6. Step 6: Final answer
    x = 4,246.27

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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.