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Finding the Fourth Proportional to 11,693.79, 17,509.01 and 7,785.63

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Solution

The fourth proportional to 11,693.79, 17,509.01 and 7,785.63 is: 11,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.79 : 17,509.01 = 7,785.63 : x
  2. Step 2: Convert to fraction form
    11,693.79/17,509.01 = 7,785.63/x
  3. Step 3: Cross multiply
    11,693.79x = 17,509.01 × 7,785.63
  4. Step 4: Simplify right side
    11,693.79x = 136,318,634.60
  5. Step 5: Solve for x
    x = 136,318,634.60/11,693.79
  6. Step 6: Final answer
    x = 11,657.35

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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.