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Finding the Fourth Proportional to 14,902.96, 22,320.40 and 7,117.28

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Solution

The fourth proportional to 14,902.96, 22,320.40 and 7,117.28 is: 10,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.96 : 22,320.40 = 7,117.28 : x
  2. Step 2: Convert to fraction form
    14,902.96/22,320.40 = 7,117.28/x
  3. Step 3: Cross multiply
    14,902.96x = 22,320.40 × 7,117.28
  4. Step 4: Simplify right side
    14,902.96x = 158,860,536.51
  5. Step 5: Solve for x
    x = 158,860,536.51/14,902.96
  6. Step 6: Final answer
    x = 10,659.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.