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Finding the Fourth Proportional to 2,101.67, 2,900.90 and 1,405.07

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Solution

The fourth proportional to 2,101.67, 2,900.90 and 1,405.07 is: 1,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.67 : 2,900.90 = 1,405.07 : x
  2. Step 2: Convert to fraction form
    2,101.67/2,900.90 = 1,405.07/x
  3. Step 3: Cross multiply
    2,101.67x = 2,900.90 × 1,405.07
  4. Step 4: Simplify right side
    2,101.67x = 4,075,956.57
  5. Step 5: Solve for x
    x = 4,075,956.57/2,101.67
  6. Step 6: Final answer
    x = 1,939.39

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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.