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Finding the Fourth Proportional to 11,574.76, 15,974.60 and 6,539.20

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Solution

The fourth proportional to 11,574.76, 15,974.60 and 6,539.20 is: 9,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.76 : 15,974.60 = 6,539.20 : x
  2. Step 2: Convert to fraction form
    11,574.76/15,974.60 = 6,539.20/x
  3. Step 3: Cross multiply
    11,574.76x = 15,974.60 × 6,539.20
  4. Step 4: Simplify right side
    11,574.76x = 104,461,104.32
  5. Step 5: Solve for x
    x = 104,461,104.32/11,574.76
  6. Step 6: Final answer
    x = 9,024.90

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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.