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Finding the Fourth Proportional to 7,013.42, 9,679.07 and 3,870.17

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Solution

The fourth proportional to 7,013.42, 9,679.07 and 3,870.17 is: 5,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.42 : 9,679.07 = 3,870.17 : x
  2. Step 2: Convert to fraction form
    7,013.42/9,679.07 = 3,870.17/x
  3. Step 3: Cross multiply
    7,013.42x = 9,679.07 × 3,870.17
  4. Step 4: Simplify right side
    7,013.42x = 37,459,626.99
  5. Step 5: Solve for x
    x = 37,459,626.99/7,013.42
  6. Step 6: Final answer
    x = 5,341.14

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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.