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Finding the Fourth Proportional to 9,646.37, 13,309.03 and 6,287.96

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Solution

The fourth proportional to 9,646.37, 13,309.03 and 6,287.96 is: 8,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.37 : 13,309.03 = 6,287.96 : x
  2. Step 2: Convert to fraction form
    9,646.37/13,309.03 = 6,287.96/x
  3. Step 3: Cross multiply
    9,646.37x = 13,309.03 × 6,287.96
  4. Step 4: Simplify right side
    9,646.37x = 83,686,566.01
  5. Step 5: Solve for x
    x = 83,686,566.01/9,646.37
  6. Step 6: Final answer
    x = 8,675.45

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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.