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Finding the Fourth Proportional to 13,014, 19,521.54 and 3,780

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Solution

The fourth proportional to 13,014, 19,521.54 and 3,780 is: 5,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 19,521.54 = 3,780 : x
  2. Step 2: Convert to fraction form
    13,014/19,521.54 = 3,780/x
  3. Step 3: Cross multiply
    13,014x = 19,521.54 × 3,780
  4. Step 4: Simplify right side
    13,014x = 73,791,421.20
  5. Step 5: Solve for x
    x = 73,791,421.20/13,014
  6. Step 6: Final answer
    x = 5,670.16

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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.