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Finding the Fourth Proportional to 9,894.36, 13,647.90 and 6,909.08

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Solution

The fourth proportional to 9,894.36, 13,647.90 and 6,909.08 is: 9,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.36 : 13,647.90 = 6,909.08 : x
  2. Step 2: Convert to fraction form
    9,894.36/13,647.90 = 6,909.08/x
  3. Step 3: Cross multiply
    9,894.36x = 13,647.90 × 6,909.08
  4. Step 4: Simplify right side
    9,894.36x = 94,294,432.93
  5. Step 5: Solve for x
    x = 94,294,432.93/9,894.36
  6. Step 6: Final answer
    x = 9,530.12

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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.