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Finding the Fourth Proportional to 30,097.68, 45,137.81 and 9,036.87

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Solution

The fourth proportional to 30,097.68, 45,137.81 and 9,036.87 is: 13,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.68 : 45,137.81 = 9,036.87 : x
  2. Step 2: Convert to fraction form
    30,097.68/45,137.81 = 9,036.87/x
  3. Step 3: Cross multiply
    30,097.68x = 45,137.81 × 9,036.87
  4. Step 4: Simplify right side
    30,097.68x = 407,904,250.18
  5. Step 5: Solve for x
    x = 407,904,250.18/30,097.68
  6. Step 6: Final answer
    x = 13,552.68

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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.