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Finding the Fourth Proportional to 14,866.50, 20,511.50 and 9,828.89

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Solution

The fourth proportional to 14,866.50, 20,511.50 and 9,828.89 is: 13,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.50 : 20,511.50 = 9,828.89 : x
  2. Step 2: Convert to fraction form
    14,866.50/20,511.50 = 9,828.89/x
  3. Step 3: Cross multiply
    14,866.50x = 20,511.50 × 9,828.89
  4. Step 4: Simplify right side
    14,866.50x = 201,605,125.53
  5. Step 5: Solve for x
    x = 201,605,125.53/14,866.50
  6. Step 6: Final answer
    x = 13,561.03

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1.5x scale

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.