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Finding the Fourth Proportional to 19,343.60, 28,998.64 and 11,536

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Solution

The fourth proportional to 19,343.60, 28,998.64 and 11,536 is: 17,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.60 : 28,998.64 = 11,536 : x
  2. Step 2: Convert to fraction form
    19,343.60/28,998.64 = 11,536/x
  3. Step 3: Cross multiply
    19,343.60x = 28,998.64 × 11,536
  4. Step 4: Simplify right side
    19,343.60x = 334,528,311.04
  5. Step 5: Solve for x
    x = 334,528,311.04/19,343.60
  6. Step 6: Final answer
    x = 17,294.00

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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.