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Finding the Fourth Proportional to 9,866.80, 13,619.91 and 5,886.46

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Solution

The fourth proportional to 9,866.80, 13,619.91 and 5,886.46 is: 8,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.80 : 13,619.91 = 5,886.46 : x
  2. Step 2: Convert to fraction form
    9,866.80/13,619.91 = 5,886.46/x
  3. Step 3: Cross multiply
    9,866.80x = 13,619.91 × 5,886.46
  4. Step 4: Simplify right side
    9,866.80x = 80,173,055.42
  5. Step 5: Solve for x
    x = 80,173,055.42/9,866.80
  6. Step 6: Final answer
    x = 8,125.54

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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.