Home / 2,971.86-4,455.90-1,509

Finding the Fourth Proportional to 2,971.86, 4,455.90 and 1,509

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Solution

The fourth proportional to 2,971.86, 4,455.90 and 1,509 is: 2,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.86 : 4,455.90 = 1,509 : x
  2. Step 2: Convert to fraction form
    2,971.86/4,455.90 = 1,509/x
  3. Step 3: Cross multiply
    2,971.86x = 4,455.90 × 1,509
  4. Step 4: Simplify right side
    2,971.86x = 6,723,953.10
  5. Step 5: Solve for x
    x = 6,723,953.10/2,971.86
  6. Step 6: Final answer
    x = 2,262.54

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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.