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Finding the Fourth Proportional to 19,487.79, 26,875.50 and 12,771

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Solution

The fourth proportional to 19,487.79, 26,875.50 and 12,771 is: 17,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487.79 : 26,875.50 = 12,771 : x
  2. Step 2: Convert to fraction form
    19,487.79/26,875.50 = 12,771/x
  3. Step 3: Cross multiply
    19,487.79x = 26,875.50 × 12,771
  4. Step 4: Simplify right side
    19,487.79x = 343,227,010.50
  5. Step 5: Solve for x
    x = 343,227,010.50/19,487.79
  6. Step 6: Final answer
    x = 17,612.41

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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.