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Finding the Fourth Proportional to 30,284.70, 45,406.53 and 15,464.94

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Solution

The fourth proportional to 30,284.70, 45,406.53 and 15,464.94 is: 23,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.70 : 45,406.53 = 15,464.94 : x
  2. Step 2: Convert to fraction form
    30,284.70/45,406.53 = 15,464.94/x
  3. Step 3: Cross multiply
    30,284.70x = 45,406.53 × 15,464.94
  4. Step 4: Simplify right side
    30,284.70x = 702,209,262.06
  5. Step 5: Solve for x
    x = 702,209,262.06/30,284.70
  6. Step 6: Final answer
    x = 23,186.93

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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.