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Finding the Fourth Proportional to 8,573.58, 11,828.16 and 5,385

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Solution

The fourth proportional to 8,573.58, 11,828.16 and 5,385 is: 7,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.58 : 11,828.16 = 5,385 : x
  2. Step 2: Convert to fraction form
    8,573.58/11,828.16 = 5,385/x
  3. Step 3: Cross multiply
    8,573.58x = 11,828.16 × 5,385
  4. Step 4: Simplify right side
    8,573.58x = 63,694,641.60
  5. Step 5: Solve for x
    x = 63,694,641.60/8,573.58
  6. Step 6: Final answer
    x = 7,429.18

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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.