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Finding the Fourth Proportional to 4,703, 7,044.48 and 3,054.68

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Solution

The fourth proportional to 4,703, 7,044.48 and 3,054.68 is: 4,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703 : 7,044.48 = 3,054.68 : x
  2. Step 2: Convert to fraction form
    4,703/7,044.48 = 3,054.68/x
  3. Step 3: Cross multiply
    4,703x = 7,044.48 × 3,054.68
  4. Step 4: Simplify right side
    4,703x = 21,518,632.17
  5. Step 5: Solve for x
    x = 21,518,632.17/4,703
  6. Step 6: Final answer
    x = 4,575.51

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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.