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Finding the Fourth Proportional to 6,503.77, 8,966.73 and 4,145.05

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Solution

The fourth proportional to 6,503.77, 8,966.73 and 4,145.05 is: 5,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.77 : 8,966.73 = 4,145.05 : x
  2. Step 2: Convert to fraction form
    6,503.77/8,966.73 = 4,145.05/x
  3. Step 3: Cross multiply
    6,503.77x = 8,966.73 × 4,145.05
  4. Step 4: Simplify right side
    6,503.77x = 37,167,544.19
  5. Step 5: Solve for x
    x = 37,167,544.19/6,503.77
  6. Step 6: Final answer
    x = 5,714.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.