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Finding the Fourth Proportional to 5,005.78, 7,509.90 and 3,527.89

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Solution

The fourth proportional to 5,005.78, 7,509.90 and 3,527.89 is: 5,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.78 : 7,509.90 = 3,527.89 : x
  2. Step 2: Convert to fraction form
    5,005.78/7,509.90 = 3,527.89/x
  3. Step 3: Cross multiply
    5,005.78x = 7,509.90 × 3,527.89
  4. Step 4: Simplify right side
    5,005.78x = 26,494,101.11
  5. Step 5: Solve for x
    x = 26,494,101.11/5,005.78
  6. Step 6: Final answer
    x = 5,292.70

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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.