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Finding the Fourth Proportional to 9,658.71, 13,329.34 and 5,409.95

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Solution

The fourth proportional to 9,658.71, 13,329.34 and 5,409.95 is: 7,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.71 : 13,329.34 = 5,409.95 : x
  2. Step 2: Convert to fraction form
    9,658.71/13,329.34 = 5,409.95/x
  3. Step 3: Cross multiply
    9,658.71x = 13,329.34 × 5,409.95
  4. Step 4: Simplify right side
    9,658.71x = 72,111,043.13
  5. Step 5: Solve for x
    x = 72,111,043.13/9,658.71
  6. Step 6: Final answer
    x = 7,465.91

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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.