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Finding the Fourth Proportional to 9,990.10, 13,783.94 and 6,403.42

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Solution

The fourth proportional to 9,990.10, 13,783.94 and 6,403.42 is: 8,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.10 : 13,783.94 = 6,403.42 : x
  2. Step 2: Convert to fraction form
    9,990.10/13,783.94 = 6,403.42/x
  3. Step 3: Cross multiply
    9,990.10x = 13,783.94 × 6,403.42
  4. Step 4: Simplify right side
    9,990.10x = 88,264,325.06
  5. Step 5: Solve for x
    x = 88,264,325.06/9,990.10
  6. Step 6: Final answer
    x = 8,835.18

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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.