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Finding the Fourth Proportional to 7,429, 11,143.50 and 1,957

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Solution

The fourth proportional to 7,429, 11,143.50 and 1,957 is: 2,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429 : 11,143.50 = 1,957 : x
  2. Step 2: Convert to fraction form
    7,429/11,143.50 = 1,957/x
  3. Step 3: Cross multiply
    7,429x = 11,143.50 × 1,957
  4. Step 4: Simplify right side
    7,429x = 21,807,829.50
  5. Step 5: Solve for x
    x = 21,807,829.50/7,429
  6. Step 6: Final answer
    x = 2,935.50

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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.