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Finding the Fourth Proportional to 19,782.76, 27,312.94 and 17,654.64

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Solution

The fourth proportional to 19,782.76, 27,312.94 and 17,654.64 is: 24,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.76 : 27,312.94 = 17,654.64 : x
  2. Step 2: Convert to fraction form
    19,782.76/27,312.94 = 17,654.64/x
  3. Step 3: Cross multiply
    19,782.76x = 27,312.94 × 17,654.64
  4. Step 4: Simplify right side
    19,782.76x = 482,200,123.04
  5. Step 5: Solve for x
    x = 482,200,123.04/19,782.76
  6. Step 6: Final answer
    x = 24,374.76

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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.