Home / 1,837.90-2,756.31-971.74

Finding the Fourth Proportional to 1,837.90, 2,756.31 and 971.74

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Solution

The fourth proportional to 1,837.90, 2,756.31 and 971.74 is: 1,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.90 : 2,756.31 = 971.74 : x
  2. Step 2: Convert to fraction form
    1,837.90/2,756.31 = 971.74/x
  3. Step 3: Cross multiply
    1,837.90x = 2,756.31 × 971.74
  4. Step 4: Simplify right side
    1,837.90x = 2,678,416.68
  5. Step 5: Solve for x
    x = 2,678,416.68/1,837.90
  6. Step 6: Final answer
    x = 1,457.32

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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.