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Finding the Fourth Proportional to 30,285.97, 45,436.28 and 9,509.47

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Solution

The fourth proportional to 30,285.97, 45,436.28 and 9,509.47 is: 14,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.97 : 45,436.28 = 9,509.47 : x
  2. Step 2: Convert to fraction form
    30,285.97/45,436.28 = 9,509.47/x
  3. Step 3: Cross multiply
    30,285.97x = 45,436.28 × 9,509.47
  4. Step 4: Simplify right side
    30,285.97x = 432,074,780.43
  5. Step 5: Solve for x
    x = 432,074,780.43/30,285.97
  6. Step 6: Final answer
    x = 14,266.50

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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.