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Finding the Fourth Proportional to 6,642.07, 9,156.04 and 5,461.09

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Solution

The fourth proportional to 6,642.07, 9,156.04 and 5,461.09 is: 7,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.07 : 9,156.04 = 5,461.09 : x
  2. Step 2: Convert to fraction form
    6,642.07/9,156.04 = 5,461.09/x
  3. Step 3: Cross multiply
    6,642.07x = 9,156.04 × 5,461.09
  4. Step 4: Simplify right side
    6,642.07x = 50,001,921.94
  5. Step 5: Solve for x
    x = 50,001,921.94/6,642.07
  6. Step 6: Final answer
    x = 7,528.07

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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.