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Finding the Fourth Proportional to 3,288.19, 4,931.54 and 947.69

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Solution

The fourth proportional to 3,288.19, 4,931.54 and 947.69 is: 1,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.19 : 4,931.54 = 947.69 : x
  2. Step 2: Convert to fraction form
    3,288.19/4,931.54 = 947.69/x
  3. Step 3: Cross multiply
    3,288.19x = 4,931.54 × 947.69
  4. Step 4: Simplify right side
    3,288.19x = 4,673,585.84
  5. Step 5: Solve for x
    x = 4,673,585.84/3,288.19
  6. Step 6: Final answer
    x = 1,421.33

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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.