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Finding the Fourth Proportional to 15,114.80, 21,178 and 15,114.80

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Solution

The fourth proportional to 15,114.80, 21,178 and 15,114.80 is: 21,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.80 : 21,178 = 15,114.80 : x
  2. Step 2: Convert to fraction form
    15,114.80/21,178 = 15,114.80/x
  3. Step 3: Cross multiply
    15,114.80x = 21,178 × 15,114.80
  4. Step 4: Simplify right side
    15,114.80x = 320,101,234.40
  5. Step 5: Solve for x
    x = 320,101,234.40/15,114.80
  6. Step 6: Final answer
    x = 21,178

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.