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Finding the Fourth Proportional to 9,784.86, 13,503 and 5,308.71

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Solution

The fourth proportional to 9,784.86, 13,503 and 5,308.71 is: 7,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.86 : 13,503 = 5,308.71 : x
  2. Step 2: Convert to fraction form
    9,784.86/13,503 = 5,308.71/x
  3. Step 3: Cross multiply
    9,784.86x = 13,503 × 5,308.71
  4. Step 4: Simplify right side
    9,784.86x = 71,683,511.13
  5. Step 5: Solve for x
    x = 71,683,511.13/9,784.86
  6. Step 6: Final answer
    x = 7,325.96

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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.