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Finding the Fourth Proportional to 34,378.40, 51,572.40 and 14,656.80

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Solution

The fourth proportional to 34,378.40, 51,572.40 and 14,656.80 is: 21,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.40 : 51,572.40 = 14,656.80 : x
  2. Step 2: Convert to fraction form
    34,378.40/51,572.40 = 14,656.80/x
  3. Step 3: Cross multiply
    34,378.40x = 51,572.40 × 14,656.80
  4. Step 4: Simplify right side
    34,378.40x = 755,886,352.32
  5. Step 5: Solve for x
    x = 755,886,352.32/34,378.40
  6. Step 6: Final answer
    x = 21,987.25

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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.