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Finding the Fourth Proportional to 2,606.66, 3,597.18 and 1,427.80

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Solution

The fourth proportional to 2,606.66, 3,597.18 and 1,427.80 is: 1,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.66 : 3,597.18 = 1,427.80 : x
  2. Step 2: Convert to fraction form
    2,606.66/3,597.18 = 1,427.80/x
  3. Step 3: Cross multiply
    2,606.66x = 3,597.18 × 1,427.80
  4. Step 4: Simplify right side
    2,606.66x = 5,136,053.60
  5. Step 5: Solve for x
    x = 5,136,053.60/2,606.66
  6. Step 6: Final answer
    x = 1,970.36

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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.