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Finding the Fourth Proportional to 5,703.84, 7,870.23 and 3,345.12

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Solution

The fourth proportional to 5,703.84, 7,870.23 and 3,345.12 is: 4,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.84 : 7,870.23 = 3,345.12 : x
  2. Step 2: Convert to fraction form
    5,703.84/7,870.23 = 3,345.12/x
  3. Step 3: Cross multiply
    5,703.84x = 7,870.23 × 3,345.12
  4. Step 4: Simplify right side
    5,703.84x = 26,326,863.78
  5. Step 5: Solve for x
    x = 26,326,863.78/5,703.84
  6. Step 6: Final answer
    x = 4,615.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.