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Finding the Fourth Proportional to 4,971.70, 7,459.17 and 1,853.38

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Solution

The fourth proportional to 4,971.70, 7,459.17 and 1,853.38 is: 2,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.70 : 7,459.17 = 1,853.38 : x
  2. Step 2: Convert to fraction form
    4,971.70/7,459.17 = 1,853.38/x
  3. Step 3: Cross multiply
    4,971.70x = 7,459.17 × 1,853.38
  4. Step 4: Simplify right side
    4,971.70x = 13,824,676.49
  5. Step 5: Solve for x
    x = 13,824,676.49/4,971.70
  6. Step 6: Final answer
    x = 2,780.67

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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.