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Finding the Fourth Proportional to 13,705, 18,931.05 and 11,026.31

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Solution

The fourth proportional to 13,705, 18,931.05 and 11,026.31 is: 15,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705 : 18,931.05 = 11,026.31 : x
  2. Step 2: Convert to fraction form
    13,705/18,931.05 = 11,026.31/x
  3. Step 3: Cross multiply
    13,705x = 18,931.05 × 11,026.31
  4. Step 4: Simplify right side
    13,705x = 208,739,625.93
  5. Step 5: Solve for x
    x = 208,739,625.93/13,705
  6. Step 6: Final answer
    x = 15,230.91

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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.