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Finding the Fourth Proportional to 5,124.42, 7,686.54 and 1,661.67

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Solution

The fourth proportional to 5,124.42, 7,686.54 and 1,661.67 is: 2,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.42 : 7,686.54 = 1,661.67 : x
  2. Step 2: Convert to fraction form
    5,124.42/7,686.54 = 1,661.67/x
  3. Step 3: Cross multiply
    5,124.42x = 7,686.54 × 1,661.67
  4. Step 4: Simplify right side
    5,124.42x = 12,772,492.92
  5. Step 5: Solve for x
    x = 12,772,492.92/5,124.42
  6. Step 6: Final answer
    x = 2,492.48

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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.