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Finding the Fourth Proportional to 10,505.80, 15,737.90 and 6,810.60

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Solution

The fourth proportional to 10,505.80, 15,737.90 and 6,810.60 is: 10,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.80 : 15,737.90 = 6,810.60 : x
  2. Step 2: Convert to fraction form
    10,505.80/15,737.90 = 6,810.60/x
  3. Step 3: Cross multiply
    10,505.80x = 15,737.90 × 6,810.60
  4. Step 4: Simplify right side
    10,505.80x = 107,184,541.74
  5. Step 5: Solve for x
    x = 107,184,541.74/10,505.80
  6. Step 6: Final answer
    x = 10,202.42

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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.