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Finding the Fourth Proportional to 25,575, 38,362.50 and 7,107

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Solution

The fourth proportional to 25,575, 38,362.50 and 7,107 is: 10,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575 : 38,362.50 = 7,107 : x
  2. Step 2: Convert to fraction form
    25,575/38,362.50 = 7,107/x
  3. Step 3: Cross multiply
    25,575x = 38,362.50 × 7,107
  4. Step 4: Simplify right side
    25,575x = 272,642,287.50
  5. Step 5: Solve for x
    x = 272,642,287.50/25,575
  6. Step 6: Final answer
    x = 10,660.50

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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.