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Finding the Fourth Proportional to 4,465, 6,697.64 and 1,178.40

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Solution

The fourth proportional to 4,465, 6,697.64 and 1,178.40 is: 1,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465 : 6,697.64 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    4,465/6,697.64 = 1,178.40/x
  3. Step 3: Cross multiply
    4,465x = 6,697.64 × 1,178.40
  4. Step 4: Simplify right side
    4,465x = 7,892,498.98
  5. Step 5: Solve for x
    x = 7,892,498.98/4,465
  6. Step 6: Final answer
    x = 1,767.64

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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.