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Finding the Fourth Proportional to 19,260.64, 28,838.80 and 10,007.20

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Solution

The fourth proportional to 19,260.64, 28,838.80 and 10,007.20 is: 14,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,260.64 : 28,838.80 = 10,007.20 : x
  2. Step 2: Convert to fraction form
    19,260.64/28,838.80 = 10,007.20/x
  3. Step 3: Cross multiply
    19,260.64x = 28,838.80 × 10,007.20
  4. Step 4: Simplify right side
    19,260.64x = 288,595,639.36
  5. Step 5: Solve for x
    x = 288,595,639.36/19,260.64
  6. Step 6: Final answer
    x = 14,983.70

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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.