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Finding the Fourth Proportional to 3,911.63, 5,867.47 and 989.93

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Solution

The fourth proportional to 3,911.63, 5,867.47 and 989.93 is: 1,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.63 : 5,867.47 = 989.93 : x
  2. Step 2: Convert to fraction form
    3,911.63/5,867.47 = 989.93/x
  3. Step 3: Cross multiply
    3,911.63x = 5,867.47 × 989.93
  4. Step 4: Simplify right side
    3,911.63x = 5,808,384.58
  5. Step 5: Solve for x
    x = 5,808,384.58/3,911.63
  6. Step 6: Final answer
    x = 1,484.90

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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.