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Finding the Fourth Proportional to 11,484.89, 15,848.46 and 6,449.47

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Solution

The fourth proportional to 11,484.89, 15,848.46 and 6,449.47 is: 8,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.89 : 15,848.46 = 6,449.47 : x
  2. Step 2: Convert to fraction form
    11,484.89/15,848.46 = 6,449.47/x
  3. Step 3: Cross multiply
    11,484.89x = 15,848.46 × 6,449.47
  4. Step 4: Simplify right side
    11,484.89x = 102,214,216.84
  5. Step 5: Solve for x
    x = 102,214,216.84/11,484.89
  6. Step 6: Final answer
    x = 8,899.89

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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.