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Finding the Fourth Proportional to 19,785, 29,675.64 and 5,748.72

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Solution

The fourth proportional to 19,785, 29,675.64 and 5,748.72 is: 8,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785 : 29,675.64 = 5,748.72 : x
  2. Step 2: Convert to fraction form
    19,785/29,675.64 = 5,748.72/x
  3. Step 3: Cross multiply
    19,785x = 29,675.64 × 5,748.72
  4. Step 4: Simplify right side
    19,785x = 170,596,945.18
  5. Step 5: Solve for x
    x = 170,596,945.18/19,785
  6. Step 6: Final answer
    x = 8,622.54

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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.