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Finding the Fourth Proportional to 7,102.98, 9,802.12 and 3,959.18

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Solution

The fourth proportional to 7,102.98, 9,802.12 and 3,959.18 is: 5,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.98 : 9,802.12 = 3,959.18 : x
  2. Step 2: Convert to fraction form
    7,102.98/9,802.12 = 3,959.18/x
  3. Step 3: Cross multiply
    7,102.98x = 9,802.12 × 3,959.18
  4. Step 4: Simplify right side
    7,102.98x = 38,808,357.46
  5. Step 5: Solve for x
    x = 38,808,357.46/7,102.98
  6. Step 6: Final answer
    x = 5,463.67

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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.