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Finding the Fourth Proportional to 19,509.76, 29,254.80 and 8,976.64

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Solution

The fourth proportional to 19,509.76, 29,254.80 and 8,976.64 is: 13,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.76 : 29,254.80 = 8,976.64 : x
  2. Step 2: Convert to fraction form
    19,509.76/29,254.80 = 8,976.64/x
  3. Step 3: Cross multiply
    19,509.76x = 29,254.80 × 8,976.64
  4. Step 4: Simplify right side
    19,509.76x = 262,609,807.87
  5. Step 5: Solve for x
    x = 262,609,807.87/19,509.76
  6. Step 6: Final answer
    x = 13,460.43

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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.