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Finding the Fourth Proportional to 8,729.76, 13,111.44 and 7,483.20

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Solution

The fourth proportional to 8,729.76, 13,111.44 and 7,483.20 is: 11,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.76 : 13,111.44 = 7,483.20 : x
  2. Step 2: Convert to fraction form
    8,729.76/13,111.44 = 7,483.20/x
  3. Step 3: Cross multiply
    8,729.76x = 13,111.44 × 7,483.20
  4. Step 4: Simplify right side
    8,729.76x = 98,115,527.81
  5. Step 5: Solve for x
    x = 98,115,527.81/8,729.76
  6. Step 6: Final answer
    x = 11,239.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.