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Finding the Fourth Proportional to 34,457.50, 51,686.46 and 13,681

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Solution

The fourth proportional to 34,457.50, 51,686.46 and 13,681 is: 20,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,457.50 : 51,686.46 = 13,681 : x
  2. Step 2: Convert to fraction form
    34,457.50/51,686.46 = 13,681/x
  3. Step 3: Cross multiply
    34,457.50x = 51,686.46 × 13,681
  4. Step 4: Simplify right side
    34,457.50x = 707,122,459.26
  5. Step 5: Solve for x
    x = 707,122,459.26/34,457.50
  6. Step 6: Final answer
    x = 20,521.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.