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Finding the Fourth Proportional to 9,315.84, 12,856.07 and 5,124.09

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Solution

The fourth proportional to 9,315.84, 12,856.07 and 5,124.09 is: 7,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.84 : 12,856.07 = 5,124.09 : x
  2. Step 2: Convert to fraction form
    9,315.84/12,856.07 = 5,124.09/x
  3. Step 3: Cross multiply
    9,315.84x = 12,856.07 × 5,124.09
  4. Step 4: Simplify right side
    9,315.84x = 65,875,691.92
  5. Step 5: Solve for x
    x = 65,875,691.92/9,315.84
  6. Step 6: Final answer
    x = 7,071.36

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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.