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Finding the Fourth Proportional to 9,894.26, 13,654.06 and 5,478.26

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Solution

The fourth proportional to 9,894.26, 13,654.06 and 5,478.26 is: 7,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.26 : 13,654.06 = 5,478.26 : x
  2. Step 2: Convert to fraction form
    9,894.26/13,654.06 = 5,478.26/x
  3. Step 3: Cross multiply
    9,894.26x = 13,654.06 × 5,478.26
  4. Step 4: Simplify right side
    9,894.26x = 74,800,490.74
  5. Step 5: Solve for x
    x = 74,800,490.74/9,894.26
  6. Step 6: Final answer
    x = 7,559.99

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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.