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Finding the Fourth Proportional to 4,946.79, 7,420.79 and 2,312.94

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Solution

The fourth proportional to 4,946.79, 7,420.79 and 2,312.94 is: 3,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.79 : 7,420.79 = 2,312.94 : x
  2. Step 2: Convert to fraction form
    4,946.79/7,420.79 = 2,312.94/x
  3. Step 3: Cross multiply
    4,946.79x = 7,420.79 × 2,312.94
  4. Step 4: Simplify right side
    4,946.79x = 17,163,842.02
  5. Step 5: Solve for x
    x = 17,163,842.02/4,946.79
  6. Step 6: Final answer
    x = 3,469.69

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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.