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Finding the Fourth Proportional to 9,978.75, 14,968.20 and 4,430.60

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Solution

The fourth proportional to 9,978.75, 14,968.20 and 4,430.60 is: 6,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.75 : 14,968.20 = 4,430.60 : x
  2. Step 2: Convert to fraction form
    9,978.75/14,968.20 = 4,430.60/x
  3. Step 3: Cross multiply
    9,978.75x = 14,968.20 × 4,430.60
  4. Step 4: Simplify right side
    9,978.75x = 66,318,106.92
  5. Step 5: Solve for x
    x = 66,318,106.92/9,978.75
  6. Step 6: Final answer
    x = 6,645.93

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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.