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Finding the Fourth Proportional to 6,405.99, 9,602.35 and 3,114.99

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Solution

The fourth proportional to 6,405.99, 9,602.35 and 3,114.99 is: 4,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.99 : 9,602.35 = 3,114.99 : x
  2. Step 2: Convert to fraction form
    6,405.99/9,602.35 = 3,114.99/x
  3. Step 3: Cross multiply
    6,405.99x = 9,602.35 × 3,114.99
  4. Step 4: Simplify right side
    6,405.99x = 29,911,216.44
  5. Step 5: Solve for x
    x = 29,911,216.44/6,405.99
  6. Step 6: Final answer
    x = 4,669.26

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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.