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Finding the Fourth Proportional to 30,498.19, 45,750.29 and 10,509.28

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Solution

The fourth proportional to 30,498.19, 45,750.29 and 10,509.28 is: 15,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.19 : 45,750.29 = 10,509.28 : x
  2. Step 2: Convert to fraction form
    30,498.19/45,750.29 = 10,509.28/x
  3. Step 3: Cross multiply
    30,498.19x = 45,750.29 × 10,509.28
  4. Step 4: Simplify right side
    30,498.19x = 480,802,440.77
  5. Step 5: Solve for x
    x = 480,802,440.77/30,498.19
  6. Step 6: Final answer
    x = 15,764.95

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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.