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Finding the Fourth Proportional to 7,123.53, 9,824.86 and 6,646.07

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Solution

The fourth proportional to 7,123.53, 9,824.86 and 6,646.07 is: 9,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.53 : 9,824.86 = 6,646.07 : x
  2. Step 2: Convert to fraction form
    7,123.53/9,824.86 = 6,646.07/x
  3. Step 3: Cross multiply
    7,123.53x = 9,824.86 × 6,646.07
  4. Step 4: Simplify right side
    7,123.53x = 65,296,658.18
  5. Step 5: Solve for x
    x = 65,296,658.18/7,123.53
  6. Step 6: Final answer
    x = 9,166.34

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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.