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Finding the Fourth Proportional to 7,095, 10,642.50 and 1,900.76

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Solution

The fourth proportional to 7,095, 10,642.50 and 1,900.76 is: 2,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095 : 10,642.50 = 1,900.76 : x
  2. Step 2: Convert to fraction form
    7,095/10,642.50 = 1,900.76/x
  3. Step 3: Cross multiply
    7,095x = 10,642.50 × 1,900.76
  4. Step 4: Simplify right side
    7,095x = 20,228,838.30
  5. Step 5: Solve for x
    x = 20,228,838.30/7,095
  6. Step 6: Final answer
    x = 2,851.14

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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.