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Finding the Fourth Proportional to 11,421.66, 15,762 and 6,706.02

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Solution

The fourth proportional to 11,421.66, 15,762 and 6,706.02 is: 9,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.66 : 15,762 = 6,706.02 : x
  2. Step 2: Convert to fraction form
    11,421.66/15,762 = 6,706.02/x
  3. Step 3: Cross multiply
    11,421.66x = 15,762 × 6,706.02
  4. Step 4: Simplify right side
    11,421.66x = 105,700,287.24
  5. Step 5: Solve for x
    x = 105,700,287.24/11,421.66
  6. Step 6: Final answer
    x = 9,254.37

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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.