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Finding the Fourth Proportional to 12,897.54, 19,345.50 and 7,699.50

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Solution

The fourth proportional to 12,897.54, 19,345.50 and 7,699.50 is: 11,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.54 : 19,345.50 = 7,699.50 : x
  2. Step 2: Convert to fraction form
    12,897.54/19,345.50 = 7,699.50/x
  3. Step 3: Cross multiply
    12,897.54x = 19,345.50 × 7,699.50
  4. Step 4: Simplify right side
    12,897.54x = 148,950,677.25
  5. Step 5: Solve for x
    x = 148,950,677.25/12,897.54
  6. Step 6: Final answer
    x = 11,548.77

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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.