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Finding the Fourth Proportional to 9,162, 12,643.44 and 4,970.40

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Solution

The fourth proportional to 9,162, 12,643.44 and 4,970.40 is: 6,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 12,643.44 = 4,970.40 : x
  2. Step 2: Convert to fraction form
    9,162/12,643.44 = 4,970.40/x
  3. Step 3: Cross multiply
    9,162x = 12,643.44 × 4,970.40
  4. Step 4: Simplify right side
    9,162x = 62,842,954.18
  5. Step 5: Solve for x
    x = 62,842,954.18/9,162
  6. Step 6: Final answer
    x = 6,859.09

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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.