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Finding the Fourth Proportional to 7,041.50, 10,565.90 and 3,578.75

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Solution

The fourth proportional to 7,041.50, 10,565.90 and 3,578.75 is: 5,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.50 : 10,565.90 = 3,578.75 : x
  2. Step 2: Convert to fraction form
    7,041.50/10,565.90 = 3,578.75/x
  3. Step 3: Cross multiply
    7,041.50x = 10,565.90 × 3,578.75
  4. Step 4: Simplify right side
    7,041.50x = 37,812,714.63
  5. Step 5: Solve for x
    x = 37,812,714.63/7,041.50
  6. Step 6: Final answer
    x = 5,369.98

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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.