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Finding the Fourth Proportional to 10,675.80, 16,020.90 and 4,829.40

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Solution

The fourth proportional to 10,675.80, 16,020.90 and 4,829.40 is: 7,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.80 : 16,020.90 = 4,829.40 : x
  2. Step 2: Convert to fraction form
    10,675.80/16,020.90 = 4,829.40/x
  3. Step 3: Cross multiply
    10,675.80x = 16,020.90 × 4,829.40
  4. Step 4: Simplify right side
    10,675.80x = 77,371,334.46
  5. Step 5: Solve for x
    x = 77,371,334.46/10,675.80
  6. Step 6: Final answer
    x = 7,247.36

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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.