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Finding the Fourth Proportional to 7,031.78, 9,701.40 and 4,513.70

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Solution

The fourth proportional to 7,031.78, 9,701.40 and 4,513.70 is: 6,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.78 : 9,701.40 = 4,513.70 : x
  2. Step 2: Convert to fraction form
    7,031.78/9,701.40 = 4,513.70/x
  3. Step 3: Cross multiply
    7,031.78x = 9,701.40 × 4,513.70
  4. Step 4: Simplify right side
    7,031.78x = 43,789,209.18
  5. Step 5: Solve for x
    x = 43,789,209.18/7,031.78
  6. Step 6: Final answer
    x = 6,227.33

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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.