Home / 7,823.53-11,735.30-1,980.14

Finding the Fourth Proportional to 7,823.53, 11,735.30 and 1,980.14

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Solution

The fourth proportional to 7,823.53, 11,735.30 and 1,980.14 is: 2,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.53 : 11,735.30 = 1,980.14 : x
  2. Step 2: Convert to fraction form
    7,823.53/11,735.30 = 1,980.14/x
  3. Step 3: Cross multiply
    7,823.53x = 11,735.30 × 1,980.14
  4. Step 4: Simplify right side
    7,823.53x = 23,237,468.36
  5. Step 5: Solve for x
    x = 23,237,468.36/7,823.53
  6. Step 6: Final answer
    x = 2,970.20

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1.5x scale

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.