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Finding the Fourth Proportional to 7,152, 10,726.80 and 1,957.88

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Solution

The fourth proportional to 7,152, 10,726.80 and 1,957.88 is: 2,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152 : 10,726.80 = 1,957.88 : x
  2. Step 2: Convert to fraction form
    7,152/10,726.80 = 1,957.88/x
  3. Step 3: Cross multiply
    7,152x = 10,726.80 × 1,957.88
  4. Step 4: Simplify right side
    7,152x = 21,001,787.18
  5. Step 5: Solve for x
    x = 21,001,787.18/7,152
  6. Step 6: Final answer
    x = 2,936.49

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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.