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Finding the Fourth Proportional to 8,696.78, 12,002.64 and 5,715.08

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Solution

The fourth proportional to 8,696.78, 12,002.64 and 5,715.08 is: 7,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.78 : 12,002.64 = 5,715.08 : x
  2. Step 2: Convert to fraction form
    8,696.78/12,002.64 = 5,715.08/x
  3. Step 3: Cross multiply
    8,696.78x = 12,002.64 × 5,715.08
  4. Step 4: Simplify right side
    8,696.78x = 68,596,047.81
  5. Step 5: Solve for x
    x = 68,596,047.81/8,696.78
  6. Step 6: Final answer
    x = 7,887.52

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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.