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Finding the Fourth Proportional to 9,719.88, 13,415.05 and 7,357.92

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Solution

The fourth proportional to 9,719.88, 13,415.05 and 7,357.92 is: 10,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.88 : 13,415.05 = 7,357.92 : x
  2. Step 2: Convert to fraction form
    9,719.88/13,415.05 = 7,357.92/x
  3. Step 3: Cross multiply
    9,719.88x = 13,415.05 × 7,357.92
  4. Step 4: Simplify right side
    9,719.88x = 98,706,864.70
  5. Step 5: Solve for x
    x = 98,706,864.70/9,719.88
  6. Step 6: Final answer
    x = 10,155.15

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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.