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Finding the Fourth Proportional to 11,358.77, 15,676.98 and 6,642.14

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Solution

The fourth proportional to 11,358.77, 15,676.98 and 6,642.14 is: 9,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.77 : 15,676.98 = 6,642.14 : x
  2. Step 2: Convert to fraction form
    11,358.77/15,676.98 = 6,642.14/x
  3. Step 3: Cross multiply
    11,358.77x = 15,676.98 × 6,642.14
  4. Step 4: Simplify right side
    11,358.77x = 104,128,695.94
  5. Step 5: Solve for x
    x = 104,128,695.94/11,358.77
  6. Step 6: Final answer
    x = 9,167.25

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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.