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Finding the Fourth Proportional to 6,977, 10,465.20 and 1,782.72

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Solution

The fourth proportional to 6,977, 10,465.20 and 1,782.72 is: 2,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977 : 10,465.20 = 1,782.72 : x
  2. Step 2: Convert to fraction form
    6,977/10,465.20 = 1,782.72/x
  3. Step 3: Cross multiply
    6,977x = 10,465.20 × 1,782.72
  4. Step 4: Simplify right side
    6,977x = 18,656,521.34
  5. Step 5: Solve for x
    x = 18,656,521.34/6,977
  6. Step 6: Final answer
    x = 2,674.00

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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.