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Finding the Fourth Proportional to 2,071.28, 3,108 and 975.08

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Solution

The fourth proportional to 2,071.28, 3,108 and 975.08 is: 1,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.28 : 3,108 = 975.08 : x
  2. Step 2: Convert to fraction form
    2,071.28/3,108 = 975.08/x
  3. Step 3: Cross multiply
    2,071.28x = 3,108 × 975.08
  4. Step 4: Simplify right side
    2,071.28x = 3,030,548.64
  5. Step 5: Solve for x
    x = 3,030,548.64/2,071.28
  6. Step 6: Final answer
    x = 1,463.13

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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.