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Finding the Fourth Proportional to 7,798.36, 11,689.86 and 3,116.98

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Solution

The fourth proportional to 7,798.36, 11,689.86 and 3,116.98 is: 4,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.36 : 11,689.86 = 3,116.98 : x
  2. Step 2: Convert to fraction form
    7,798.36/11,689.86 = 3,116.98/x
  3. Step 3: Cross multiply
    7,798.36x = 11,689.86 × 3,116.98
  4. Step 4: Simplify right side
    7,798.36x = 36,437,059.82
  5. Step 5: Solve for x
    x = 36,437,059.82/7,798.36
  6. Step 6: Final answer
    x = 4,672.40

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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.