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Finding the Fourth Proportional to 7,648.79, 11,477.36 and 2,968.98

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Solution

The fourth proportional to 7,648.79, 11,477.36 and 2,968.98 is: 4,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.79 : 11,477.36 = 2,968.98 : x
  2. Step 2: Convert to fraction form
    7,648.79/11,477.36 = 2,968.98/x
  3. Step 3: Cross multiply
    7,648.79x = 11,477.36 × 2,968.98
  4. Step 4: Simplify right side
    7,648.79x = 34,076,052.29
  5. Step 5: Solve for x
    x = 34,076,052.29/7,648.79
  6. Step 6: Final answer
    x = 4,455.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.