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Finding the Fourth Proportional to 30,651.88, 45,967.78 and 9,870.52

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Solution

The fourth proportional to 30,651.88, 45,967.78 and 9,870.52 is: 14,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.88 : 45,967.78 = 9,870.52 : x
  2. Step 2: Convert to fraction form
    30,651.88/45,967.78 = 9,870.52/x
  3. Step 3: Cross multiply
    30,651.88x = 45,967.78 × 9,870.52
  4. Step 4: Simplify right side
    30,651.88x = 453,725,891.85
  5. Step 5: Solve for x
    x = 453,725,891.85/30,651.88
  6. Step 6: Final answer
    x = 14,802.55

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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.