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Finding the Fourth Proportional to 8,956.84, 13,428.84 and 4,210.34

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Solution

The fourth proportional to 8,956.84, 13,428.84 and 4,210.34 is: 6,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.84 : 13,428.84 = 4,210.34 : x
  2. Step 2: Convert to fraction form
    8,956.84/13,428.84 = 4,210.34/x
  3. Step 3: Cross multiply
    8,956.84x = 13,428.84 × 4,210.34
  4. Step 4: Simplify right side
    8,956.84x = 56,539,982.21
  5. Step 5: Solve for x
    x = 56,539,982.21/8,956.84
  6. Step 6: Final answer
    x = 6,312.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.