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Finding the Fourth Proportional to 13,953.04, 19,256.80 and 8,364

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Solution

The fourth proportional to 13,953.04, 19,256.80 and 8,364 is: 11,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.04 : 19,256.80 = 8,364 : x
  2. Step 2: Convert to fraction form
    13,953.04/19,256.80 = 8,364/x
  3. Step 3: Cross multiply
    13,953.04x = 19,256.80 × 8,364
  4. Step 4: Simplify right side
    13,953.04x = 161,063,875.20
  5. Step 5: Solve for x
    x = 161,063,875.20/13,953.04
  6. Step 6: Final answer
    x = 11,543.28

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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.