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Finding the Fourth Proportional to 10,860.34, 14,984.49 and 6,827.80

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Solution

The fourth proportional to 10,860.34, 14,984.49 and 6,827.80 is: 9,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.34 : 14,984.49 = 6,827.80 : x
  2. Step 2: Convert to fraction form
    10,860.34/14,984.49 = 6,827.80/x
  3. Step 3: Cross multiply
    10,860.34x = 14,984.49 × 6,827.80
  4. Step 4: Simplify right side
    10,860.34x = 102,311,100.82
  5. Step 5: Solve for x
    x = 102,311,100.82/10,860.34
  6. Step 6: Final answer
    x = 9,420.62

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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.