Home / 2,357.51-3,537.30-971.90

Finding the Fourth Proportional to 2,357.51, 3,537.30 and 971.90

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Solution

The fourth proportional to 2,357.51, 3,537.30 and 971.90 is: 1,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.51 : 3,537.30 = 971.90 : x
  2. Step 2: Convert to fraction form
    2,357.51/3,537.30 = 971.90/x
  3. Step 3: Cross multiply
    2,357.51x = 3,537.30 × 971.90
  4. Step 4: Simplify right side
    2,357.51x = 3,437,901.87
  5. Step 5: Solve for x
    x = 3,437,901.87/2,357.51
  6. Step 6: Final answer
    x = 1,458.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.