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Finding the Fourth Proportional to 9,808.12, 13,483.07 and 8,440.42

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Solution

The fourth proportional to 9,808.12, 13,483.07 and 8,440.42 is: 11,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.12 : 13,483.07 = 8,440.42 : x
  2. Step 2: Convert to fraction form
    9,808.12/13,483.07 = 8,440.42/x
  3. Step 3: Cross multiply
    9,808.12x = 13,483.07 × 8,440.42
  4. Step 4: Simplify right side
    9,808.12x = 113,802,802.19
  5. Step 5: Solve for x
    x = 113,802,802.19/9,808.12
  6. Step 6: Final answer
    x = 11,602.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.