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Finding the Fourth Proportional to 8,374.89, 11,557.35 and 4,648.89

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Solution

The fourth proportional to 8,374.89, 11,557.35 and 4,648.89 is: 6,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.89 : 11,557.35 = 4,648.89 : x
  2. Step 2: Convert to fraction form
    8,374.89/11,557.35 = 4,648.89/x
  3. Step 3: Cross multiply
    8,374.89x = 11,557.35 × 4,648.89
  4. Step 4: Simplify right side
    8,374.89x = 53,728,848.84
  5. Step 5: Solve for x
    x = 53,728,848.84/8,374.89
  6. Step 6: Final answer
    x = 6,415.47

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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.