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Finding the Fourth Proportional to 6,971.72, 9,624.71 and 5,374.88

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Solution

The fourth proportional to 6,971.72, 9,624.71 and 5,374.88 is: 7,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.72 : 9,624.71 = 5,374.88 : x
  2. Step 2: Convert to fraction form
    6,971.72/9,624.71 = 5,374.88/x
  3. Step 3: Cross multiply
    6,971.72x = 9,624.71 × 5,374.88
  4. Step 4: Simplify right side
    6,971.72x = 51,731,661.28
  5. Step 5: Solve for x
    x = 51,731,661.28/6,971.72
  6. Step 6: Final answer
    x = 7,420.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.