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Finding the Fourth Proportional to 11,622.60, 16,030.94 and 7,148.88

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Solution

The fourth proportional to 11,622.60, 16,030.94 and 7,148.88 is: 9,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.60 : 16,030.94 = 7,148.88 : x
  2. Step 2: Convert to fraction form
    11,622.60/16,030.94 = 7,148.88/x
  3. Step 3: Cross multiply
    11,622.60x = 16,030.94 × 7,148.88
  4. Step 4: Simplify right side
    11,622.60x = 114,603,266.35
  5. Step 5: Solve for x
    x = 114,603,266.35/11,622.60
  6. Step 6: Final answer
    x = 9,860.38

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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.