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Finding the Fourth Proportional to 7,790.40, 10,752.80 and 5,140.80

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Solution

The fourth proportional to 7,790.40, 10,752.80 and 5,140.80 is: 7,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.40 : 10,752.80 = 5,140.80 : x
  2. Step 2: Convert to fraction form
    7,790.40/10,752.80 = 5,140.80/x
  3. Step 3: Cross multiply
    7,790.40x = 10,752.80 × 5,140.80
  4. Step 4: Simplify right side
    7,790.40x = 55,277,994.24
  5. Step 5: Solve for x
    x = 55,277,994.24/7,790.40
  6. Step 6: Final answer
    x = 7,095.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.