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Finding the Fourth Proportional to 9,164.45, 12,646.93 and 5,185.47

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Solution

The fourth proportional to 9,164.45, 12,646.93 and 5,185.47 is: 7,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.45 : 12,646.93 = 5,185.47 : x
  2. Step 2: Convert to fraction form
    9,164.45/12,646.93 = 5,185.47/x
  3. Step 3: Cross multiply
    9,164.45x = 12,646.93 × 5,185.47
  4. Step 4: Simplify right side
    9,164.45x = 65,580,263.14
  5. Step 5: Solve for x
    x = 65,580,263.14/9,164.45
  6. Step 6: Final answer
    x = 7,155.94

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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.