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Finding the Fourth Proportional to 13,214.89, 19,783.45 and 8,821.45

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Solution

The fourth proportional to 13,214.89, 19,783.45 and 8,821.45 is: 13,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.89 : 19,783.45 = 8,821.45 : x
  2. Step 2: Convert to fraction form
    13,214.89/19,783.45 = 8,821.45/x
  3. Step 3: Cross multiply
    13,214.89x = 19,783.45 × 8,821.45
  4. Step 4: Simplify right side
    13,214.89x = 174,518,715.00
  5. Step 5: Solve for x
    x = 174,518,715.00/13,214.89
  6. Step 6: Final answer
    x = 13,206.22

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1.5x scale

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.