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Finding the Fourth Proportional to 7,529, 10,390.02 and 4,585

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Solution

The fourth proportional to 7,529, 10,390.02 and 4,585 is: 6,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529 : 10,390.02 = 4,585 : x
  2. Step 2: Convert to fraction form
    7,529/10,390.02 = 4,585/x
  3. Step 3: Cross multiply
    7,529x = 10,390.02 × 4,585
  4. Step 4: Simplify right side
    7,529x = 47,638,241.70
  5. Step 5: Solve for x
    x = 47,638,241.70/7,529
  6. Step 6: Final answer
    x = 6,327.30

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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.