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Finding the Fourth Proportional to 7,963.77, 10,986.93 and 5,130.93

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Solution

The fourth proportional to 7,963.77, 10,986.93 and 5,130.93 is: 7,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.77 : 10,986.93 = 5,130.93 : x
  2. Step 2: Convert to fraction form
    7,963.77/10,986.93 = 5,130.93/x
  3. Step 3: Cross multiply
    7,963.77x = 10,986.93 × 5,130.93
  4. Step 4: Simplify right side
    7,963.77x = 56,373,168.74
  5. Step 5: Solve for x
    x = 56,373,168.74/7,963.77
  6. Step 6: Final answer
    x = 7,078.70

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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.