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Finding the Fourth Proportional to 7,692.84, 10,620 and 5,044.32

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Solution

The fourth proportional to 7,692.84, 10,620 and 5,044.32 is: 6,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.84 : 10,620 = 5,044.32 : x
  2. Step 2: Convert to fraction form
    7,692.84/10,620 = 5,044.32/x
  3. Step 3: Cross multiply
    7,692.84x = 10,620 × 5,044.32
  4. Step 4: Simplify right side
    7,692.84x = 53,570,678.40
  5. Step 5: Solve for x
    x = 53,570,678.40/7,692.84
  6. Step 6: Final answer
    x = 6,963.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.