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Finding the Fourth Proportional to 11,421.68, 15,762 and 6,386.16

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Solution

The fourth proportional to 11,421.68, 15,762 and 6,386.16 is: 8,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.68 : 15,762 = 6,386.16 : x
  2. Step 2: Convert to fraction form
    11,421.68/15,762 = 6,386.16/x
  3. Step 3: Cross multiply
    11,421.68x = 15,762 × 6,386.16
  4. Step 4: Simplify right side
    11,421.68x = 100,658,653.92
  5. Step 5: Solve for x
    x = 100,658,653.92/11,421.68
  6. Step 6: Final answer
    x = 8,812.95

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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.