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Finding the Fourth Proportional to 7,890.24, 11,848.80 and 7,560

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Solution

The fourth proportional to 7,890.24, 11,848.80 and 7,560 is: 11,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.24 : 11,848.80 = 7,560 : x
  2. Step 2: Convert to fraction form
    7,890.24/11,848.80 = 7,560/x
  3. Step 3: Cross multiply
    7,890.24x = 11,848.80 × 7,560
  4. Step 4: Simplify right side
    7,890.24x = 89,576,928
  5. Step 5: Solve for x
    x = 89,576,928/7,890.24
  6. Step 6: Final answer
    x = 11,352.88

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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.