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Finding the Fourth Proportional to 5,669.04, 7,815 and 3,678.84

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Solution

The fourth proportional to 5,669.04, 7,815 and 3,678.84 is: 5,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.04 : 7,815 = 3,678.84 : x
  2. Step 2: Convert to fraction form
    5,669.04/7,815 = 3,678.84/x
  3. Step 3: Cross multiply
    5,669.04x = 7,815 × 3,678.84
  4. Step 4: Simplify right side
    5,669.04x = 28,750,134.60
  5. Step 5: Solve for x
    x = 28,750,134.60/5,669.04
  6. Step 6: Final answer
    x = 5,071.43

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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.