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Finding the Fourth Proportional to 13,328.16, 18,388.80 and 7,738.08

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Solution

The fourth proportional to 13,328.16, 18,388.80 and 7,738.08 is: 10,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.16 : 18,388.80 = 7,738.08 : x
  2. Step 2: Convert to fraction form
    13,328.16/18,388.80 = 7,738.08/x
  3. Step 3: Cross multiply
    13,328.16x = 18,388.80 × 7,738.08
  4. Step 4: Simplify right side
    13,328.16x = 142,294,005.50
  5. Step 5: Solve for x
    x = 142,294,005.50/13,328.16
  6. Step 6: Final answer
    x = 10,676.19

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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.