Home / 1,685.21-2,325.61-977.10

Finding the Fourth Proportional to 1,685.21, 2,325.61 and 977.10

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Solution

The fourth proportional to 1,685.21, 2,325.61 and 977.10 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.21 : 2,325.61 = 977.10 : x
  2. Step 2: Convert to fraction form
    1,685.21/2,325.61 = 977.10/x
  3. Step 3: Cross multiply
    1,685.21x = 2,325.61 × 977.10
  4. Step 4: Simplify right side
    1,685.21x = 2,272,351.09
  5. Step 5: Solve for x
    x = 2,272,351.09/1,685.21
  6. Step 6: Final answer
    x = 1,348.41

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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.