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Finding the Fourth Proportional to 9,816.48, 13,365.48 and 9,785.34

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Solution

The fourth proportional to 9,816.48, 13,365.48 and 9,785.34 is: 13,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.48 : 13,365.48 = 9,785.34 : x
  2. Step 2: Convert to fraction form
    9,816.48/13,365.48 = 9,785.34/x
  3. Step 3: Cross multiply
    9,816.48x = 13,365.48 × 9,785.34
  4. Step 4: Simplify right side
    9,816.48x = 130,785,766.06
  5. Step 5: Solve for x
    x = 130,785,766.06/9,816.48
  6. Step 6: Final answer
    x = 13,323.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.