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Finding the Fourth Proportional to 9,345.60, 12,896.80 and 5,153.80

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Solution

The fourth proportional to 9,345.60, 12,896.80 and 5,153.80 is: 7,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.60 : 12,896.80 = 5,153.80 : x
  2. Step 2: Convert to fraction form
    9,345.60/12,896.80 = 5,153.80/x
  3. Step 3: Cross multiply
    9,345.60x = 12,896.80 × 5,153.80
  4. Step 4: Simplify right side
    9,345.60x = 66,467,527.84
  5. Step 5: Solve for x
    x = 66,467,527.84/9,345.60
  6. Step 6: Final answer
    x = 7,112.17

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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.