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Finding the Fourth Proportional to 4,689.93, 7,041.66 and 2,929.80

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Solution

The fourth proportional to 4,689.93, 7,041.66 and 2,929.80 is: 4,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.93 : 7,041.66 = 2,929.80 : x
  2. Step 2: Convert to fraction form
    4,689.93/7,041.66 = 2,929.80/x
  3. Step 3: Cross multiply
    4,689.93x = 7,041.66 × 2,929.80
  4. Step 4: Simplify right side
    4,689.93x = 20,630,655.47
  5. Step 5: Solve for x
    x = 20,630,655.47/4,689.93
  6. Step 6: Final answer
    x = 4,398.93

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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.