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Finding the Fourth Proportional to 18,547.76, 27,814.16 and 10,762.08

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Solution

The fourth proportional to 18,547.76, 27,814.16 and 10,762.08 is: 16,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.76 : 27,814.16 = 10,762.08 : x
  2. Step 2: Convert to fraction form
    18,547.76/27,814.16 = 10,762.08/x
  3. Step 3: Cross multiply
    18,547.76x = 27,814.16 × 10,762.08
  4. Step 4: Simplify right side
    18,547.76x = 299,338,215.05
  5. Step 5: Solve for x
    x = 299,338,215.05/18,547.76
  6. Step 6: Final answer
    x = 16,138.78

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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.