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Finding the Fourth Proportional to 2,011.68, 3,014.64 and 986.40

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Solution

The fourth proportional to 2,011.68, 3,014.64 and 986.40 is: 1,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.68 : 3,014.64 = 986.40 : x
  2. Step 2: Convert to fraction form
    2,011.68/3,014.64 = 986.40/x
  3. Step 3: Cross multiply
    2,011.68x = 3,014.64 × 986.40
  4. Step 4: Simplify right side
    2,011.68x = 2,973,640.90
  5. Step 5: Solve for x
    x = 2,973,640.90/2,011.68
  6. Step 6: Final answer
    x = 1,478.19

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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.