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Finding the Fourth Proportional to 9,140, 13,708.56 and 4,209.44

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Solution

The fourth proportional to 9,140, 13,708.56 and 4,209.44 is: 6,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140 : 13,708.56 = 4,209.44 : x
  2. Step 2: Convert to fraction form
    9,140/13,708.56 = 4,209.44/x
  3. Step 3: Cross multiply
    9,140x = 13,708.56 × 4,209.44
  4. Step 4: Simplify right side
    9,140x = 57,705,360.81
  5. Step 5: Solve for x
    x = 57,705,360.81/9,140
  6. Step 6: Final answer
    x = 6,313.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.