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Finding the Fourth Proportional to 6,858.81, 9,465.16 and 3,715.00

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Solution

The fourth proportional to 6,858.81, 9,465.16 and 3,715.00 is: 5,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.81 : 9,465.16 = 3,715.00 : x
  2. Step 2: Convert to fraction form
    6,858.81/9,465.16 = 3,715.00/x
  3. Step 3: Cross multiply
    6,858.81x = 9,465.16 × 3,715.00
  4. Step 4: Simplify right side
    6,858.81x = 35,163,043.42
  5. Step 5: Solve for x
    x = 35,163,043.42/6,858.81
  6. Step 6: Final answer
    x = 5,126.70

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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.