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Finding the Fourth Proportional to 13,748.04, 18,978.90 and 9,777.48

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Solution

The fourth proportional to 13,748.04, 18,978.90 and 9,777.48 is: 13,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.04 : 18,978.90 = 9,777.48 : x
  2. Step 2: Convert to fraction form
    13,748.04/18,978.90 = 9,777.48/x
  3. Step 3: Cross multiply
    13,748.04x = 18,978.90 × 9,777.48
  4. Step 4: Simplify right side
    13,748.04x = 185,565,815.17
  5. Step 5: Solve for x
    x = 185,565,815.17/13,748.04
  6. Step 6: Final answer
    x = 13,497.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.