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Finding the Fourth Proportional to 9,291.84, 12,828.52 and 6,458.32

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Solution

The fourth proportional to 9,291.84, 12,828.52 and 6,458.32 is: 8,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 12,828.52 = 6,458.32 : x
  2. Step 2: Convert to fraction form
    9,291.84/12,828.52 = 6,458.32/x
  3. Step 3: Cross multiply
    9,291.84x = 12,828.52 × 6,458.32
  4. Step 4: Simplify right side
    9,291.84x = 82,850,687.29
  5. Step 5: Solve for x
    x = 82,850,687.29/9,291.84
  6. Step 6: Final answer
    x = 8,916.50

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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.