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Finding the Fourth Proportional to 8,527.72, 12,795.36 and 4,971.28

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Solution

The fourth proportional to 8,527.72, 12,795.36 and 4,971.28 is: 7,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.72 : 12,795.36 = 4,971.28 : x
  2. Step 2: Convert to fraction form
    8,527.72/12,795.36 = 4,971.28/x
  3. Step 3: Cross multiply
    8,527.72x = 12,795.36 × 4,971.28
  4. Step 4: Simplify right side
    8,527.72x = 63,609,317.26
  5. Step 5: Solve for x
    x = 63,609,317.26/8,527.72
  6. Step 6: Final answer
    x = 7,459.12

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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.