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Finding the Fourth Proportional to 27,681, 38,217.06 and 17,762.28

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Solution

The fourth proportional to 27,681, 38,217.06 and 17,762.28 is: 24,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681 : 38,217.06 = 17,762.28 : x
  2. Step 2: Convert to fraction form
    27,681/38,217.06 = 17,762.28/x
  3. Step 3: Cross multiply
    27,681x = 38,217.06 × 17,762.28
  4. Step 4: Simplify right side
    27,681x = 678,822,120.50
  5. Step 5: Solve for x
    x = 678,822,120.50/27,681
  6. Step 6: Final answer
    x = 24,523.03

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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.