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Finding the Fourth Proportional to 6,988.66, 10,530.74 and 5,782.54

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Solution

The fourth proportional to 6,988.66, 10,530.74 and 5,782.54 is: 8,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.66 : 10,530.74 = 5,782.54 : x
  2. Step 2: Convert to fraction form
    6,988.66/10,530.74 = 5,782.54/x
  3. Step 3: Cross multiply
    6,988.66x = 10,530.74 × 5,782.54
  4. Step 4: Simplify right side
    6,988.66x = 60,894,425.28
  5. Step 5: Solve for x
    x = 60,894,425.28/6,988.66
  6. Step 6: Final answer
    x = 8,713.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.