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Finding the Fourth Proportional to 53,281.20, 79,921.80 and 13,835

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Solution

The fourth proportional to 53,281.20, 79,921.80 and 13,835 is: 20,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,281.20 : 79,921.80 = 13,835 : x
  2. Step 2: Convert to fraction form
    53,281.20/79,921.80 = 13,835/x
  3. Step 3: Cross multiply
    53,281.20x = 79,921.80 × 13,835
  4. Step 4: Simplify right side
    53,281.20x = 1,105,718,103
  5. Step 5: Solve for x
    x = 1,105,718,103/53,281.20
  6. Step 6: Final answer
    x = 20,752.50

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1.5x scale

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.