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Finding the Fourth Proportional to 2,970.06, 4,098.06 and 2,261.76

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Solution

The fourth proportional to 2,970.06, 4,098.06 and 2,261.76 is: 3,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.06 : 4,098.06 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    2,970.06/4,098.06 = 2,261.76/x
  3. Step 3: Cross multiply
    2,970.06x = 4,098.06 × 2,261.76
  4. Step 4: Simplify right side
    2,970.06x = 9,268,828.19
  5. Step 5: Solve for x
    x = 9,268,828.19/2,970.06
  6. Step 6: Final answer
    x = 3,120.75

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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.