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Finding the Fourth Proportional to 2,307.60, 3,180.60 and 1,782.96

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Solution

The fourth proportional to 2,307.60, 3,180.60 and 1,782.96 is: 2,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.60 : 3,180.60 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    2,307.60/3,180.60 = 1,782.96/x
  3. Step 3: Cross multiply
    2,307.60x = 3,180.60 × 1,782.96
  4. Step 4: Simplify right side
    2,307.60x = 5,670,882.58
  5. Step 5: Solve for x
    x = 5,670,882.58/2,307.60
  6. Step 6: Final answer
    x = 2,457.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.