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Finding the Fourth Proportional to 12,898.54, 19,347 and 7,700.50

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Solution

The fourth proportional to 12,898.54, 19,347 and 7,700.50 is: 11,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.54 : 19,347 = 7,700.50 : x
  2. Step 2: Convert to fraction form
    12,898.54/19,347 = 7,700.50/x
  3. Step 3: Cross multiply
    12,898.54x = 19,347 × 7,700.50
  4. Step 4: Simplify right side
    12,898.54x = 148,981,573.50
  5. Step 5: Solve for x
    x = 148,981,573.50/12,898.54
  6. Step 6: Final answer
    x = 11,550.27

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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.