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Finding the Fourth Proportional to 35,319, 53,002.80 and 14,542.50

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Solution

The fourth proportional to 35,319, 53,002.80 and 14,542.50 is: 21,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319 : 53,002.80 = 14,542.50 : x
  2. Step 2: Convert to fraction form
    35,319/53,002.80 = 14,542.50/x
  3. Step 3: Cross multiply
    35,319x = 53,002.80 × 14,542.50
  4. Step 4: Simplify right side
    35,319x = 770,793,219
  5. Step 5: Solve for x
    x = 770,793,219/35,319
  6. Step 6: Final answer
    x = 21,823.76

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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.