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Finding the Fourth Proportional to 53,008.80, 79,513.12 and 13,564.64

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Solution

The fourth proportional to 53,008.80, 79,513.12 and 13,564.64 is: 20,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,008.80 : 79,513.12 = 13,564.64 : x
  2. Step 2: Convert to fraction form
    53,008.80/79,513.12 = 13,564.64/x
  3. Step 3: Cross multiply
    53,008.80x = 79,513.12 × 13,564.64
  4. Step 4: Simplify right side
    53,008.80x = 1,078,566,848.08
  5. Step 5: Solve for x
    x = 1,078,566,848.08/53,008.80
  6. Step 6: Final answer
    x = 20,346.94

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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.