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Finding the Fourth Proportional to 14,300, 21,461.52 and 7,376.48

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Solution

The fourth proportional to 14,300, 21,461.52 and 7,376.48 is: 11,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300 : 21,461.52 = 7,376.48 : x
  2. Step 2: Convert to fraction form
    14,300/21,461.52 = 7,376.48/x
  3. Step 3: Cross multiply
    14,300x = 21,461.52 × 7,376.48
  4. Step 4: Simplify right side
    14,300x = 158,310,473.05
  5. Step 5: Solve for x
    x = 158,310,473.05/14,300
  6. Step 6: Final answer
    x = 11,070.66

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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.