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Finding the Fourth Proportional to 6,998.40, 9,655.04 and 6,114.24

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Solution

The fourth proportional to 6,998.40, 9,655.04 and 6,114.24 is: 8,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 9,655.04 = 6,114.24 : x
  2. Step 2: Convert to fraction form
    6,998.40/9,655.04 = 6,114.24/x
  3. Step 3: Cross multiply
    6,998.40x = 9,655.04 × 6,114.24
  4. Step 4: Simplify right side
    6,998.40x = 59,033,231.77
  5. Step 5: Solve for x
    x = 59,033,231.77/6,998.40
  6. Step 6: Final answer
    x = 8,435.25

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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.