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Finding the Fourth Proportional to 9,987.86, 13,784.34 and 6,406.65

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Solution

The fourth proportional to 9,987.86, 13,784.34 and 6,406.65 is: 8,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.86 : 13,784.34 = 6,406.65 : x
  2. Step 2: Convert to fraction form
    9,987.86/13,784.34 = 6,406.65/x
  3. Step 3: Cross multiply
    9,987.86x = 13,784.34 × 6,406.65
  4. Step 4: Simplify right side
    9,987.86x = 88,311,465.89
  5. Step 5: Solve for x
    x = 88,311,465.89/9,987.86
  6. Step 6: Final answer
    x = 8,841.88

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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.