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Finding the Fourth Proportional to 14,128.13, 19,497.42 and 7,840.50

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Solution

The fourth proportional to 14,128.13, 19,497.42 and 7,840.50 is: 10,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.13 : 19,497.42 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    14,128.13/19,497.42 = 7,840.50/x
  3. Step 3: Cross multiply
    14,128.13x = 19,497.42 × 7,840.50
  4. Step 4: Simplify right side
    14,128.13x = 152,869,521.51
  5. Step 5: Solve for x
    x = 152,869,521.51/14,128.13
  6. Step 6: Final answer
    x = 10,820.23

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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.