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Finding the Fourth Proportional to 2,011.47, 3,017.70 and 695.25

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Solution

The fourth proportional to 2,011.47, 3,017.70 and 695.25 is: 1,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.47 : 3,017.70 = 695.25 : x
  2. Step 2: Convert to fraction form
    2,011.47/3,017.70 = 695.25/x
  3. Step 3: Cross multiply
    2,011.47x = 3,017.70 × 695.25
  4. Step 4: Simplify right side
    2,011.47x = 2,098,055.93
  5. Step 5: Solve for x
    x = 2,098,055.93/2,011.47
  6. Step 6: Final answer
    x = 1,043.05

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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.