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Finding the Fourth Proportional to 13,582.19, 18,745.74 and 7,920.24

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Solution

The fourth proportional to 13,582.19, 18,745.74 and 7,920.24 is: 10,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.19 : 18,745.74 = 7,920.24 : x
  2. Step 2: Convert to fraction form
    13,582.19/18,745.74 = 7,920.24/x
  3. Step 3: Cross multiply
    13,582.19x = 18,745.74 × 7,920.24
  4. Step 4: Simplify right side
    13,582.19x = 148,470,759.78
  5. Step 5: Solve for x
    x = 148,470,759.78/13,582.19
  6. Step 6: Final answer
    x = 10,931.29

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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.