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Finding the Fourth Proportional to 14,280, 19,707.12 and 8,691.36

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Solution

The fourth proportional to 14,280, 19,707.12 and 8,691.36 is: 11,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 19,707.12 = 8,691.36 : x
  2. Step 2: Convert to fraction form
    14,280/19,707.12 = 8,691.36/x
  3. Step 3: Cross multiply
    14,280x = 19,707.12 × 8,691.36
  4. Step 4: Simplify right side
    14,280x = 171,281,674.48
  5. Step 5: Solve for x
    x = 171,281,674.48/14,280
  6. Step 6: Final answer
    x = 11,994.52

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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.