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Finding the Fourth Proportional to 18,547.70, 27,821.16 and 4,507.80

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Solution

The fourth proportional to 18,547.70, 27,821.16 and 4,507.80 is: 6,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.70 : 27,821.16 = 4,507.80 : x
  2. Step 2: Convert to fraction form
    18,547.70/27,821.16 = 4,507.80/x
  3. Step 3: Cross multiply
    18,547.70x = 27,821.16 × 4,507.80
  4. Step 4: Simplify right side
    18,547.70x = 125,412,225.05
  5. Step 5: Solve for x
    x = 125,412,225.05/18,547.70
  6. Step 6: Final answer
    x = 6,761.61

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1.5x scale

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.