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Finding the Fourth Proportional to 7,905, 11,857.52 and 2,433

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Solution

The fourth proportional to 7,905, 11,857.52 and 2,433 is: 3,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905 : 11,857.52 = 2,433 : x
  2. Step 2: Convert to fraction form
    7,905/11,857.52 = 2,433/x
  3. Step 3: Cross multiply
    7,905x = 11,857.52 × 2,433
  4. Step 4: Simplify right side
    7,905x = 28,849,346.16
  5. Step 5: Solve for x
    x = 28,849,346.16/7,905
  6. Step 6: Final answer
    x = 3,649.51

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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.