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Finding the Fourth Proportional to 2,607, 3,597.90 and 1,676.28

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Solution

The fourth proportional to 2,607, 3,597.90 and 1,676.28 is: 2,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607 : 3,597.90 = 1,676.28 : x
  2. Step 2: Convert to fraction form
    2,607/3,597.90 = 1,676.28/x
  3. Step 3: Cross multiply
    2,607x = 3,597.90 × 1,676.28
  4. Step 4: Simplify right side
    2,607x = 6,031,087.81
  5. Step 5: Solve for x
    x = 6,031,087.81/2,607
  6. Step 6: Final answer
    x = 2,313.42

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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.