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Finding the Fourth Proportional to 8,661.83, 12,987.56 and 4,210.74

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Solution

The fourth proportional to 8,661.83, 12,987.56 and 4,210.74 is: 6,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.83 : 12,987.56 = 4,210.74 : x
  2. Step 2: Convert to fraction form
    8,661.83/12,987.56 = 4,210.74/x
  3. Step 3: Cross multiply
    8,661.83x = 12,987.56 × 4,210.74
  4. Step 4: Simplify right side
    8,661.83x = 54,687,173.46
  5. Step 5: Solve for x
    x = 54,687,173.46/8,661.83
  6. Step 6: Final answer
    x = 6,313.58

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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.