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Finding the Fourth Proportional to 22,875.67, 31,561.23 and 12,802.51

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Solution

The fourth proportional to 22,875.67, 31,561.23 and 12,802.51 is: 17,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.67 : 31,561.23 = 12,802.51 : x
  2. Step 2: Convert to fraction form
    22,875.67/31,561.23 = 12,802.51/x
  3. Step 3: Cross multiply
    22,875.67x = 31,561.23 × 12,802.51
  4. Step 4: Simplify right side
    22,875.67x = 404,062,962.69
  5. Step 5: Solve for x
    x = 404,062,962.69/22,875.67
  6. Step 6: Final answer
    x = 17,663.44

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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.