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Finding the Fourth Proportional to 7,048.35, 9,726.05 and 4,215.15

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Solution

The fourth proportional to 7,048.35, 9,726.05 and 4,215.15 is: 5,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.35 : 9,726.05 = 4,215.15 : x
  2. Step 2: Convert to fraction form
    7,048.35/9,726.05 = 4,215.15/x
  3. Step 3: Cross multiply
    7,048.35x = 9,726.05 × 4,215.15
  4. Step 4: Simplify right side
    7,048.35x = 40,996,738.58
  5. Step 5: Solve for x
    x = 40,996,738.58/7,048.35
  6. Step 6: Final answer
    x = 5,816.50

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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.