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Finding the Fourth Proportional to 6,646.07, 9,972.59 and 4,305.48

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Solution

The fourth proportional to 6,646.07, 9,972.59 and 4,305.48 is: 6,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.07 : 9,972.59 = 4,305.48 : x
  2. Step 2: Convert to fraction form
    6,646.07/9,972.59 = 4,305.48/x
  3. Step 3: Cross multiply
    6,646.07x = 9,972.59 × 4,305.48
  4. Step 4: Simplify right side
    6,646.07x = 42,936,727.87
  5. Step 5: Solve for x
    x = 42,936,727.87/6,646.07
  6. Step 6: Final answer
    x = 6,460.47

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1.5x scale

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.