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Finding the Fourth Proportional to 34,275, 51,420.06 and 14,570.40

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Solution

The fourth proportional to 34,275, 51,420.06 and 14,570.40 is: 21,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,275 : 51,420.06 = 14,570.40 : x
  2. Step 2: Convert to fraction form
    34,275/51,420.06 = 14,570.40/x
  3. Step 3: Cross multiply
    34,275x = 51,420.06 × 14,570.40
  4. Step 4: Simplify right side
    34,275x = 749,210,842.22
  5. Step 5: Solve for x
    x = 749,210,842.22/34,275
  6. Step 6: Final answer
    x = 21,858.81

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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.