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Finding the Fourth Proportional to 19,472, 26,871.36 and 10,640

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Solution

The fourth proportional to 19,472, 26,871.36 and 10,640 is: 14,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 26,871.36 = 10,640 : x
  2. Step 2: Convert to fraction form
    19,472/26,871.36 = 10,640/x
  3. Step 3: Cross multiply
    19,472x = 26,871.36 × 10,640
  4. Step 4: Simplify right side
    19,472x = 285,911,270.40
  5. Step 5: Solve for x
    x = 285,911,270.40/19,472
  6. Step 6: Final answer
    x = 14,683.20

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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.