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Finding the Fourth Proportional to 14,509.72, 21,752 and 8,654

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Solution

The fourth proportional to 14,509.72, 21,752 and 8,654 is: 12,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.72 : 21,752 = 8,654 : x
  2. Step 2: Convert to fraction form
    14,509.72/21,752 = 8,654/x
  3. Step 3: Cross multiply
    14,509.72x = 21,752 × 8,654
  4. Step 4: Simplify right side
    14,509.72x = 188,241,808
  5. Step 5: Solve for x
    x = 188,241,808/14,509.72
  6. Step 6: Final answer
    x = 12,973.50

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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.