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Finding the Fourth Proportional to 13,205.48, 18,223.48 and 7,237.20

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Solution

The fourth proportional to 13,205.48, 18,223.48 and 7,237.20 is: 9,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.48 : 18,223.48 = 7,237.20 : x
  2. Step 2: Convert to fraction form
    13,205.48/18,223.48 = 7,237.20/x
  3. Step 3: Cross multiply
    13,205.48x = 18,223.48 × 7,237.20
  4. Step 4: Simplify right side
    13,205.48x = 131,886,969.46
  5. Step 5: Solve for x
    x = 131,886,969.46/13,205.48
  6. Step 6: Final answer
    x = 9,987.29

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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.