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Finding the Fourth Proportional to 8,465.86, 11,677.08 and 5,808.65

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Solution

The fourth proportional to 8,465.86, 11,677.08 and 5,808.65 is: 8,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.86 : 11,677.08 = 5,808.65 : x
  2. Step 2: Convert to fraction form
    8,465.86/11,677.08 = 5,808.65/x
  3. Step 3: Cross multiply
    8,465.86x = 11,677.08 × 5,808.65
  4. Step 4: Simplify right side
    8,465.86x = 67,828,070.74
  5. Step 5: Solve for x
    x = 67,828,070.74/8,465.86
  6. Step 6: Final answer
    x = 8,011.95

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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.