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Finding the Fourth Proportional to 9,866.66, 13,618.84 and 6,281.74

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Solution

The fourth proportional to 9,866.66, 13,618.84 and 6,281.74 is: 8,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.66 : 13,618.84 = 6,281.74 : x
  2. Step 2: Convert to fraction form
    9,866.66/13,618.84 = 6,281.74/x
  3. Step 3: Cross multiply
    9,866.66x = 13,618.84 × 6,281.74
  4. Step 4: Simplify right side
    9,866.66x = 85,550,011.98
  5. Step 5: Solve for x
    x = 85,550,011.98/9,866.66
  6. Step 6: Final answer
    x = 8,670.62

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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.