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Finding the Fourth Proportional to 2,071.60, 3,109.10 and 2,055.40

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Solution

The fourth proportional to 2,071.60, 3,109.10 and 2,055.40 is: 3,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.60 : 3,109.10 = 2,055.40 : x
  2. Step 2: Convert to fraction form
    2,071.60/3,109.10 = 2,055.40/x
  3. Step 3: Cross multiply
    2,071.60x = 3,109.10 × 2,055.40
  4. Step 4: Simplify right side
    2,071.60x = 6,390,444.14
  5. Step 5: Solve for x
    x = 6,390,444.14/2,071.60
  6. Step 6: Final answer
    x = 3,084.79

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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.