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Finding the Fourth Proportional to 9,194.40, 13,807.80 and 7,119.45

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Solution

The fourth proportional to 9,194.40, 13,807.80 and 7,119.45 is: 10,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.40 : 13,807.80 = 7,119.45 : x
  2. Step 2: Convert to fraction form
    9,194.40/13,807.80 = 7,119.45/x
  3. Step 3: Cross multiply
    9,194.40x = 13,807.80 × 7,119.45
  4. Step 4: Simplify right side
    9,194.40x = 98,303,941.71
  5. Step 5: Solve for x
    x = 98,303,941.71/9,194.40
  6. Step 6: Final answer
    x = 10,691.72

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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.