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Finding the Fourth Proportional to 11,572.16, 17,360.40 and 4,647.20

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Solution

The fourth proportional to 11,572.16, 17,360.40 and 4,647.20 is: 6,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.16 : 17,360.40 = 4,647.20 : x
  2. Step 2: Convert to fraction form
    11,572.16/17,360.40 = 4,647.20/x
  3. Step 3: Cross multiply
    11,572.16x = 17,360.40 × 4,647.20
  4. Step 4: Simplify right side
    11,572.16x = 80,677,250.88
  5. Step 5: Solve for x
    x = 80,677,250.88/11,572.16
  6. Step 6: Final answer
    x = 6,971.67

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