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Finding the Fourth Proportional to 4,989.92, 7,485 and 1,658.24

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Solution

The fourth proportional to 4,989.92, 7,485 and 1,658.24 is: 2,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.92 : 7,485 = 1,658.24 : x
  2. Step 2: Convert to fraction form
    4,989.92/7,485 = 1,658.24/x
  3. Step 3: Cross multiply
    4,989.92x = 7,485 × 1,658.24
  4. Step 4: Simplify right side
    4,989.92x = 12,411,926.40
  5. Step 5: Solve for x
    x = 12,411,926.40/4,989.92
  6. Step 6: Final answer
    x = 2,487.40

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1.5x scale

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.