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Finding the Fourth Proportional to 9,978.85, 14,968.02 and 8,660.50

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Solution

The fourth proportional to 9,978.85, 14,968.02 and 8,660.50 is: 12,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.85 : 14,968.02 = 8,660.50 : x
  2. Step 2: Convert to fraction form
    9,978.85/14,968.02 = 8,660.50/x
  3. Step 3: Cross multiply
    9,978.85x = 14,968.02 × 8,660.50
  4. Step 4: Simplify right side
    9,978.85x = 129,630,537.21
  5. Step 5: Solve for x
    x = 129,630,537.21/9,978.85
  6. Step 6: Final answer
    x = 12,990.53

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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.