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Finding the Fourth Proportional to 30,486.91, 45,692.24 and 14,688.98

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Solution

The fourth proportional to 30,486.91, 45,692.24 and 14,688.98 is: 22,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.91 : 45,692.24 = 14,688.98 : x
  2. Step 2: Convert to fraction form
    30,486.91/45,692.24 = 14,688.98/x
  3. Step 3: Cross multiply
    30,486.91x = 45,692.24 × 14,688.98
  4. Step 4: Simplify right side
    30,486.91x = 671,172,399.52
  5. Step 5: Solve for x
    x = 671,172,399.52/30,486.91
  6. Step 6: Final answer
    x = 22,015.10

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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.