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Finding the Fourth Proportional to 9,478.85, 13,065.93 and 6,489.50

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Solution

The fourth proportional to 9,478.85, 13,065.93 and 6,489.50 is: 8,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.85 : 13,065.93 = 6,489.50 : x
  2. Step 2: Convert to fraction form
    9,478.85/13,065.93 = 6,489.50/x
  3. Step 3: Cross multiply
    9,478.85x = 13,065.93 × 6,489.50
  4. Step 4: Simplify right side
    9,478.85x = 84,791,287.41
  5. Step 5: Solve for x
    x = 84,791,287.41/9,478.85
  6. Step 6: Final answer
    x = 8,945.32

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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.