Home / 3,437.02-5,155.84-971.90

Finding the Fourth Proportional to 3,437.02, 5,155.84 and 971.90

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Solution

The fourth proportional to 3,437.02, 5,155.84 and 971.90 is: 1,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.02 : 5,155.84 = 971.90 : x
  2. Step 2: Convert to fraction form
    3,437.02/5,155.84 = 971.90/x
  3. Step 3: Cross multiply
    3,437.02x = 5,155.84 × 971.90
  4. Step 4: Simplify right side
    3,437.02x = 5,010,960.90
  5. Step 5: Solve for x
    x = 5,010,960.90/3,437.02
  6. Step 6: Final answer
    x = 1,457.94

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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.