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Finding the Fourth Proportional to 13,447.70, 18,556.40 and 7,478.40

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Solution

The fourth proportional to 13,447.70, 18,556.40 and 7,478.40 is: 10,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.70 : 18,556.40 = 7,478.40 : x
  2. Step 2: Convert to fraction form
    13,447.70/18,556.40 = 7,478.40/x
  3. Step 3: Cross multiply
    13,447.70x = 18,556.40 × 7,478.40
  4. Step 4: Simplify right side
    13,447.70x = 138,772,144.37
  5. Step 5: Solve for x
    x = 138,772,144.37/13,447.70
  6. Step 6: Final answer
    x = 10,319.40

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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.