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Finding the Fourth Proportional to 4,647.29, 6,971.78 and 1,527.47

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Solution

The fourth proportional to 4,647.29, 6,971.78 and 1,527.47 is: 2,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.29 : 6,971.78 = 1,527.47 : x
  2. Step 2: Convert to fraction form
    4,647.29/6,971.78 = 1,527.47/x
  3. Step 3: Cross multiply
    4,647.29x = 6,971.78 × 1,527.47
  4. Step 4: Simplify right side
    4,647.29x = 10,649,153.76
  5. Step 5: Solve for x
    x = 10,649,153.76/4,647.29
  6. Step 6: Final answer
    x = 2,291.48

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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.