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Finding the Fourth Proportional to 14,328.80, 21,482.00 and 6,828.50

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Solution

The fourth proportional to 14,328.80, 21,482.00 and 6,828.50 is: 10,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.80 : 21,482.00 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    14,328.80/21,482.00 = 6,828.50/x
  3. Step 3: Cross multiply
    14,328.80x = 21,482.00 × 6,828.50
  4. Step 4: Simplify right side
    14,328.80x = 146,689,695.45
  5. Step 5: Solve for x
    x = 146,689,695.45/14,328.80
  6. Step 6: Final answer
    x = 10,237.41

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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.