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Finding the Fourth Proportional to 7,039.12, 9,710.94 and 4,243

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Solution

The fourth proportional to 7,039.12, 9,710.94 and 4,243 is: 5,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.12 : 9,710.94 = 4,243 : x
  2. Step 2: Convert to fraction form
    7,039.12/9,710.94 = 4,243/x
  3. Step 3: Cross multiply
    7,039.12x = 9,710.94 × 4,243
  4. Step 4: Simplify right side
    7,039.12x = 41,203,518.42
  5. Step 5: Solve for x
    x = 41,203,518.42/7,039.12
  6. Step 6: Final answer
    x = 5,853.50

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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.