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Finding the Fourth Proportional to 9,938.01, 13,707.51 and 8,435.57

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Solution

The fourth proportional to 9,938.01, 13,707.51 and 8,435.57 is: 11,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.01 : 13,707.51 = 8,435.57 : x
  2. Step 2: Convert to fraction form
    9,938.01/13,707.51 = 8,435.57/x
  3. Step 3: Cross multiply
    9,938.01x = 13,707.51 × 8,435.57
  4. Step 4: Simplify right side
    9,938.01x = 115,630,591.59
  5. Step 5: Solve for x
    x = 115,630,591.59/9,938.01
  6. Step 6: Final answer
    x = 11,635.19

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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.