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Finding the Fourth Proportional to 13,585, 18,778.68 and 11,333.74

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Solution

The fourth proportional to 13,585, 18,778.68 and 11,333.74 is: 15,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 18,778.68 = 11,333.74 : x
  2. Step 2: Convert to fraction form
    13,585/18,778.68 = 11,333.74/x
  3. Step 3: Cross multiply
    13,585x = 18,778.68 × 11,333.74
  4. Step 4: Simplify right side
    13,585x = 212,832,676.66
  5. Step 5: Solve for x
    x = 212,832,676.66/13,585
  6. Step 6: Final answer
    x = 15,666.74

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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.