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Finding the Fourth Proportional to 30,490.98, 45,710.18 and 11,784.14

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Solution

The fourth proportional to 30,490.98, 45,710.18 and 11,784.14 is: 17,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.98 : 45,710.18 = 11,784.14 : x
  2. Step 2: Convert to fraction form
    30,490.98/45,710.18 = 11,784.14/x
  3. Step 3: Cross multiply
    30,490.98x = 45,710.18 × 11,784.14
  4. Step 4: Simplify right side
    30,490.98x = 538,655,101.62
  5. Step 5: Solve for x
    x = 538,655,101.62/30,490.98
  6. Step 6: Final answer
    x = 17,666.05

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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.