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Finding the Fourth Proportional to 6,999.12, 9,655.74 and 4,203

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Solution

The fourth proportional to 6,999.12, 9,655.74 and 4,203 is: 5,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.12 : 9,655.74 = 4,203 : x
  2. Step 2: Convert to fraction form
    6,999.12/9,655.74 = 4,203/x
  3. Step 3: Cross multiply
    6,999.12x = 9,655.74 × 4,203
  4. Step 4: Simplify right side
    6,999.12x = 40,583,075.22
  5. Step 5: Solve for x
    x = 40,583,075.22/6,999.12
  6. Step 6: Final answer
    x = 5,798.31

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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.