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Finding the Fourth Proportional to 7,590.42, 11,385.90 and 6,981.48

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Solution

The fourth proportional to 7,590.42, 11,385.90 and 6,981.48 is: 10,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.42 : 11,385.90 = 6,981.48 : x
  2. Step 2: Convert to fraction form
    7,590.42/11,385.90 = 6,981.48/x
  3. Step 3: Cross multiply
    7,590.42x = 11,385.90 × 6,981.48
  4. Step 4: Simplify right side
    7,590.42x = 79,490,433.13
  5. Step 5: Solve for x
    x = 79,490,433.13/7,590.42
  6. Step 6: Final answer
    x = 10,472.47

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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.