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Finding the Fourth Proportional to 2,902.01, 4,004.80 and 1,643.07

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Solution

The fourth proportional to 2,902.01, 4,004.80 and 1,643.07 is: 2,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.01 : 4,004.80 = 1,643.07 : x
  2. Step 2: Convert to fraction form
    2,902.01/4,004.80 = 1,643.07/x
  3. Step 3: Cross multiply
    2,902.01x = 4,004.80 × 1,643.07
  4. Step 4: Simplify right side
    2,902.01x = 6,580,162.63
  5. Step 5: Solve for x
    x = 6,580,162.63/2,902.01
  6. Step 6: Final answer
    x = 2,267.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.