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Finding the Fourth Proportional to 5,840, 8,056.80 and 3,851.52

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Solution

The fourth proportional to 5,840, 8,056.80 and 3,851.52 is: 5,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,056.80 = 3,851.52 : x
  2. Step 2: Convert to fraction form
    5,840/8,056.80 = 3,851.52/x
  3. Step 3: Cross multiply
    5,840x = 8,056.80 × 3,851.52
  4. Step 4: Simplify right side
    5,840x = 31,030,926.34
  5. Step 5: Solve for x
    x = 31,030,926.34/5,840
  6. Step 6: Final answer
    x = 5,313.51

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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.