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Finding the Fourth Proportional to 3,527, 5,290.80 and 929.94

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Solution

The fourth proportional to 3,527, 5,290.80 and 929.94 is: 1,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527 : 5,290.80 = 929.94 : x
  2. Step 2: Convert to fraction form
    3,527/5,290.80 = 929.94/x
  3. Step 3: Cross multiply
    3,527x = 5,290.80 × 929.94
  4. Step 4: Simplify right side
    3,527x = 4,920,126.55
  5. Step 5: Solve for x
    x = 4,920,126.55/3,527
  6. Step 6: Final answer
    x = 1,394.99

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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.