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Finding the Fourth Proportional to 7,214, 9,956.40 and 4,421.12

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Solution

The fourth proportional to 7,214, 9,956.40 and 4,421.12 is: 6,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 9,956.40 = 4,421.12 : x
  2. Step 2: Convert to fraction form
    7,214/9,956.40 = 4,421.12/x
  3. Step 3: Cross multiply
    7,214x = 9,956.40 × 4,421.12
  4. Step 4: Simplify right side
    7,214x = 44,018,439.17
  5. Step 5: Solve for x
    x = 44,018,439.17/7,214
  6. Step 6: Final answer
    x = 6,101.81

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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.