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Finding the Fourth Proportional to 14,893, 20,590.74 and 14,240.20

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Solution

The fourth proportional to 14,893, 20,590.74 and 14,240.20 is: 19,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893 : 20,590.74 = 14,240.20 : x
  2. Step 2: Convert to fraction form
    14,893/20,590.74 = 14,240.20/x
  3. Step 3: Cross multiply
    14,893x = 20,590.74 × 14,240.20
  4. Step 4: Simplify right side
    14,893x = 293,216,255.75
  5. Step 5: Solve for x
    x = 293,216,255.75/14,893
  6. Step 6: Final answer
    x = 19,688.19

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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.