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Finding the Fourth Proportional to 7,050, 10,575 and 2,946

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Solution

The fourth proportional to 7,050, 10,575 and 2,946 is: 4,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050 : 10,575 = 2,946 : x
  2. Step 2: Convert to fraction form
    7,050/10,575 = 2,946/x
  3. Step 3: Cross multiply
    7,050x = 10,575 × 2,946
  4. Step 4: Simplify right side
    7,050x = 31,153,950
  5. Step 5: Solve for x
    x = 31,153,950/7,050
  6. Step 6: Final answer
    x = 4,419

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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.