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Finding the Fourth Proportional to 37,836, 56,718.72 and 12,858.98

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Solution

The fourth proportional to 37,836, 56,718.72 and 12,858.98 is: 19,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,836 : 56,718.72 = 12,858.98 : x
  2. Step 2: Convert to fraction form
    37,836/56,718.72 = 12,858.98/x
  3. Step 3: Cross multiply
    37,836x = 56,718.72 × 12,858.98
  4. Step 4: Simplify right side
    37,836x = 729,344,602.51
  5. Step 5: Solve for x
    x = 729,344,602.51/37,836
  6. Step 6: Final answer
    x = 19,276.47

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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.