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Finding the Fourth Proportional to 11,885.70, 16,404.36 and 7,642.02

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Solution

The fourth proportional to 11,885.70, 16,404.36 and 7,642.02 is: 10,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.70 : 16,404.36 = 7,642.02 : x
  2. Step 2: Convert to fraction form
    11,885.70/16,404.36 = 7,642.02/x
  3. Step 3: Cross multiply
    11,885.70x = 16,404.36 × 7,642.02
  4. Step 4: Simplify right side
    11,885.70x = 125,362,447.21
  5. Step 5: Solve for x
    x = 125,362,447.21/11,885.70
  6. Step 6: Final answer
    x = 10,547.33

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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.