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Finding the Fourth Proportional to 35,809.56, 53,712.72 and 12,437.82

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Solution

The fourth proportional to 35,809.56, 53,712.72 and 12,437.82 is: 18,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.56 : 53,712.72 = 12,437.82 : x
  2. Step 2: Convert to fraction form
    35,809.56/53,712.72 = 12,437.82/x
  3. Step 3: Cross multiply
    35,809.56x = 53,712.72 × 12,437.82
  4. Step 4: Simplify right side
    35,809.56x = 668,069,143.07
  5. Step 5: Solve for x
    x = 668,069,143.07/35,809.56
  6. Step 6: Final answer
    x = 18,656.17

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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.