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Finding the Fourth Proportional to 13,140, 19,809.06 and 12,294.36

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Solution

The fourth proportional to 13,140, 19,809.06 and 12,294.36 is: 18,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 19,809.06 = 12,294.36 : x
  2. Step 2: Convert to fraction form
    13,140/19,809.06 = 12,294.36/x
  3. Step 3: Cross multiply
    13,140x = 19,809.06 × 12,294.36
  4. Step 4: Simplify right side
    13,140x = 243,539,714.90
  5. Step 5: Solve for x
    x = 243,539,714.90/13,140
  6. Step 6: Final answer
    x = 18,534.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.