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Finding the Fourth Proportional to 9,986.59, 14,969.73 and 6,478.81

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Solution

The fourth proportional to 9,986.59, 14,969.73 and 6,478.81 is: 9,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.59 : 14,969.73 = 6,478.81 : x
  2. Step 2: Convert to fraction form
    9,986.59/14,969.73 = 6,478.81/x
  3. Step 3: Cross multiply
    9,986.59x = 14,969.73 × 6,478.81
  4. Step 4: Simplify right side
    9,986.59x = 96,986,036.42
  5. Step 5: Solve for x
    x = 96,986,036.42/9,986.59
  6. Step 6: Final answer
    x = 9,711.63

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1.5x scale

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.