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Finding the Fourth Proportional to 11,460, 15,820.56 and 10,768.80

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Solution

The fourth proportional to 11,460, 15,820.56 and 10,768.80 is: 14,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460 : 15,820.56 = 10,768.80 : x
  2. Step 2: Convert to fraction form
    11,460/15,820.56 = 10,768.80/x
  3. Step 3: Cross multiply
    11,460x = 15,820.56 × 10,768.80
  4. Step 4: Simplify right side
    11,460x = 170,368,446.53
  5. Step 5: Solve for x
    x = 170,368,446.53/11,460
  6. Step 6: Final answer
    x = 14,866.36

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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.