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Finding the Fourth Proportional to 10,459.84, 15,692.48 and 3,887.92

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Solution

The fourth proportional to 10,459.84, 15,692.48 and 3,887.92 is: 5,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.84 : 15,692.48 = 3,887.92 : x
  2. Step 2: Convert to fraction form
    10,459.84/15,692.48 = 3,887.92/x
  3. Step 3: Cross multiply
    10,459.84x = 15,692.48 × 3,887.92
  4. Step 4: Simplify right side
    10,459.84x = 61,011,106.84
  5. Step 5: Solve for x
    x = 61,011,106.84/10,459.84
  6. Step 6: Final answer
    x = 5,832.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.