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Finding the Fourth Proportional to 9,647.63, 13,312.78 and 5,398.44

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Solution

The fourth proportional to 9,647.63, 13,312.78 and 5,398.44 is: 7,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.63 : 13,312.78 = 5,398.44 : x
  2. Step 2: Convert to fraction form
    9,647.63/13,312.78 = 5,398.44/x
  3. Step 3: Cross multiply
    9,647.63x = 13,312.78 × 5,398.44
  4. Step 4: Simplify right side
    9,647.63x = 71,868,244.06
  5. Step 5: Solve for x
    x = 71,868,244.06/9,647.63
  6. Step 6: Final answer
    x = 7,449.32

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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.