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Finding the Fourth Proportional to 20,842.66, 28,762.88 and 11,411.22

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Solution

The fourth proportional to 20,842.66, 28,762.88 and 11,411.22 is: 15,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.66 : 28,762.88 = 11,411.22 : x
  2. Step 2: Convert to fraction form
    20,842.66/28,762.88 = 11,411.22/x
  3. Step 3: Cross multiply
    20,842.66x = 28,762.88 × 11,411.22
  4. Step 4: Simplify right side
    20,842.66x = 328,219,551.51
  5. Step 5: Solve for x
    x = 328,219,551.51/20,842.66
  6. Step 6: Final answer
    x = 15,747.49

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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.