Home / 9,720-14,582.48-2,794.52

Finding the Fourth Proportional to 9,720, 14,582.48 and 2,794.52

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Solution

The fourth proportional to 9,720, 14,582.48 and 2,794.52 is: 4,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,582.48 = 2,794.52 : x
  2. Step 2: Convert to fraction form
    9,720/14,582.48 = 2,794.52/x
  3. Step 3: Cross multiply
    9,720x = 14,582.48 × 2,794.52
  4. Step 4: Simplify right side
    9,720x = 40,751,032.01
  5. Step 5: Solve for x
    x = 40,751,032.01/9,720
  6. Step 6: Final answer
    x = 4,192.49

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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.