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Finding the Fourth Proportional to 19,697.60, 29,527.69 and 7,858.64

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Solution

The fourth proportional to 19,697.60, 29,527.69 and 7,858.64 is: 11,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.60 : 29,527.69 = 7,858.64 : x
  2. Step 2: Convert to fraction form
    19,697.60/29,527.69 = 7,858.64/x
  3. Step 3: Cross multiply
    19,697.60x = 29,527.69 × 7,858.64
  4. Step 4: Simplify right side
    19,697.60x = 232,047,318.46
  5. Step 5: Solve for x
    x = 232,047,318.46/19,697.60
  6. Step 6: Final answer
    x = 11,780.49

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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.