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Finding the Fourth Proportional to 3,071, 4,594.98 and 2,904.26

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Solution

The fourth proportional to 3,071, 4,594.98 and 2,904.26 is: 4,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071 : 4,594.98 = 2,904.26 : x
  2. Step 2: Convert to fraction form
    3,071/4,594.98 = 2,904.26/x
  3. Step 3: Cross multiply
    3,071x = 4,594.98 × 2,904.26
  4. Step 4: Simplify right side
    3,071x = 13,345,016.61
  5. Step 5: Solve for x
    x = 13,345,016.61/3,071
  6. Step 6: Final answer
    x = 4,345.50

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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.