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Finding the Fourth Proportional to 19,637, 29,461.30 and 11,322.98

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Solution

The fourth proportional to 19,637, 29,461.30 and 11,322.98 is: 16,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637 : 29,461.30 = 11,322.98 : x
  2. Step 2: Convert to fraction form
    19,637/29,461.30 = 11,322.98/x
  3. Step 3: Cross multiply
    19,637x = 29,461.30 × 11,322.98
  4. Step 4: Simplify right side
    19,637x = 333,589,710.67
  5. Step 5: Solve for x
    x = 333,589,710.67/19,637
  6. Step 6: Final answer
    x = 16,987.81

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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.