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Finding the Fourth Proportional to 3,120.76, 4,681.06 and 929.50

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Solution

The fourth proportional to 3,120.76, 4,681.06 and 929.50 is: 1,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.76 : 4,681.06 = 929.50 : x
  2. Step 2: Convert to fraction form
    3,120.76/4,681.06 = 929.50/x
  3. Step 3: Cross multiply
    3,120.76x = 4,681.06 × 929.50
  4. Step 4: Simplify right side
    3,120.76x = 4,351,045.27
  5. Step 5: Solve for x
    x = 4,351,045.27/3,120.76
  6. Step 6: Final answer
    x = 1,394.23

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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.