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Finding the Fourth Proportional to 22,857.40, 34,289.52 and 7,278.52

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Solution

The fourth proportional to 22,857.40, 34,289.52 and 7,278.52 is: 10,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.40 : 34,289.52 = 7,278.52 : x
  2. Step 2: Convert to fraction form
    22,857.40/34,289.52 = 7,278.52/x
  3. Step 3: Cross multiply
    22,857.40x = 34,289.52 × 7,278.52
  4. Step 4: Simplify right side
    22,857.40x = 249,576,957.11
  5. Step 5: Solve for x
    x = 249,576,957.11/22,857.40
  6. Step 6: Final answer
    x = 10,918.87

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1.5x scale

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.