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Finding the Fourth Proportional to 31,830.66, 43,925.90 and 17,683.20

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Solution

The fourth proportional to 31,830.66, 43,925.90 and 17,683.20 is: 24,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.66 : 43,925.90 = 17,683.20 : x
  2. Step 2: Convert to fraction form
    31,830.66/43,925.90 = 17,683.20/x
  3. Step 3: Cross multiply
    31,830.66x = 43,925.90 × 17,683.20
  4. Step 4: Simplify right side
    31,830.66x = 776,750,386.46
  5. Step 5: Solve for x
    x = 776,750,386.46/31,830.66
  6. Step 6: Final answer
    x = 24,402.59

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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.