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Finding the Fourth Proportional to 3,009.76, 4,515.15 and 929.72

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Solution

The fourth proportional to 3,009.76, 4,515.15 and 929.72 is: 1,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.76 : 4,515.15 = 929.72 : x
  2. Step 2: Convert to fraction form
    3,009.76/4,515.15 = 929.72/x
  3. Step 3: Cross multiply
    3,009.76x = 4,515.15 × 929.72
  4. Step 4: Simplify right side
    3,009.76x = 4,197,836.55
  5. Step 5: Solve for x
    x = 4,197,836.55/3,009.76
  6. Step 6: Final answer
    x = 1,394.74

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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.