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Finding the Fourth Proportional to 7,104.04, 9,805.30 and 4,309

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Solution

The fourth proportional to 7,104.04, 9,805.30 and 4,309 is: 5,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.04 : 9,805.30 = 4,309 : x
  2. Step 2: Convert to fraction form
    7,104.04/9,805.30 = 4,309/x
  3. Step 3: Cross multiply
    7,104.04x = 9,805.30 × 4,309
  4. Step 4: Simplify right side
    7,104.04x = 42,251,037.70
  5. Step 5: Solve for x
    x = 42,251,037.70/7,104.04
  6. Step 6: Final answer
    x = 5,947.47

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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.