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Finding the Fourth Proportional to 1,873.19, 2,810.50 and 777.67

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Solution

The fourth proportional to 1,873.19, 2,810.50 and 777.67 is: 1,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.19 : 2,810.50 = 777.67 : x
  2. Step 2: Convert to fraction form
    1,873.19/2,810.50 = 777.67/x
  3. Step 3: Cross multiply
    1,873.19x = 2,810.50 × 777.67
  4. Step 4: Simplify right side
    1,873.19x = 2,185,632.56
  5. Step 5: Solve for x
    x = 2,185,632.56/1,873.19
  6. Step 6: Final answer
    x = 1,166.80

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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.