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Finding the Fourth Proportional to 9,984.64, 13,776.06 and 6,005.20

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Solution

The fourth proportional to 9,984.64, 13,776.06 and 6,005.20 is: 8,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.64 : 13,776.06 = 6,005.20 : x
  2. Step 2: Convert to fraction form
    9,984.64/13,776.06 = 6,005.20/x
  3. Step 3: Cross multiply
    9,984.64x = 13,776.06 × 6,005.20
  4. Step 4: Simplify right side
    9,984.64x = 82,727,995.51
  5. Step 5: Solve for x
    x = 82,727,995.51/9,984.64
  6. Step 6: Final answer
    x = 8,285.53

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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.