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Finding the Fourth Proportional to 25,539.66, 38,309.52 and 7,071.66

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Solution

The fourth proportional to 25,539.66, 38,309.52 and 7,071.66 is: 10,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.66 : 38,309.52 = 7,071.66 : x
  2. Step 2: Convert to fraction form
    25,539.66/38,309.52 = 7,071.66/x
  3. Step 3: Cross multiply
    25,539.66x = 38,309.52 × 7,071.66
  4. Step 4: Simplify right side
    25,539.66x = 270,911,900.20
  5. Step 5: Solve for x
    x = 270,911,900.20/25,539.66
  6. Step 6: Final answer
    x = 10,607.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.