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Finding the Fourth Proportional to 9,962.92, 13,746 and 6,428.20

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Solution

The fourth proportional to 9,962.92, 13,746 and 6,428.20 is: 8,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.92 : 13,746 = 6,428.20 : x
  2. Step 2: Convert to fraction form
    9,962.92/13,746 = 6,428.20/x
  3. Step 3: Cross multiply
    9,962.92x = 13,746 × 6,428.20
  4. Step 4: Simplify right side
    9,962.92x = 88,362,037.20
  5. Step 5: Solve for x
    x = 88,362,037.20/9,962.92
  6. Step 6: Final answer
    x = 8,869.09

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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.