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Finding the Fourth Proportional to 14,135.13, 19,506.42 and 7,847.51

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Solution

The fourth proportional to 14,135.13, 19,506.42 and 7,847.51 is: 10,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.13 : 19,506.42 = 7,847.51 : x
  2. Step 2: Convert to fraction form
    14,135.13/19,506.42 = 7,847.51/x
  3. Step 3: Cross multiply
    14,135.13x = 19,506.42 × 7,847.51
  4. Step 4: Simplify right side
    14,135.13x = 153,076,728.48
  5. Step 5: Solve for x
    x = 153,076,728.48/14,135.13
  6. Step 6: Final answer
    x = 10,829.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.