Home / 2,359.40-3,537.18-971.96

Finding the Fourth Proportional to 2,359.40, 3,537.18 and 971.96

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Solution

The fourth proportional to 2,359.40, 3,537.18 and 971.96 is: 1,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.40 : 3,537.18 = 971.96 : x
  2. Step 2: Convert to fraction form
    2,359.40/3,537.18 = 971.96/x
  3. Step 3: Cross multiply
    2,359.40x = 3,537.18 × 971.96
  4. Step 4: Simplify right side
    2,359.40x = 3,437,997.47
  5. Step 5: Solve for x
    x = 3,437,997.47/2,359.40
  6. Step 6: Final answer
    x = 1,457.15

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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.