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Finding the Fourth Proportional to 9,978.48, 13,766.96 and 6,444.08

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Solution

The fourth proportional to 9,978.48, 13,766.96 and 6,444.08 is: 8,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.48 : 13,766.96 = 6,444.08 : x
  2. Step 2: Convert to fraction form
    9,978.48/13,766.96 = 6,444.08/x
  3. Step 3: Cross multiply
    9,978.48x = 13,766.96 × 6,444.08
  4. Step 4: Simplify right side
    9,978.48x = 88,715,391.60
  5. Step 5: Solve for x
    x = 88,715,391.60/9,978.48
  6. Step 6: Final answer
    x = 8,890.67

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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.