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Finding the Fourth Proportional to 32,688, 45,110.16 and 17,784

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Solution

The fourth proportional to 32,688, 45,110.16 and 17,784 is: 24,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688 : 45,110.16 = 17,784 : x
  2. Step 2: Convert to fraction form
    32,688/45,110.16 = 17,784/x
  3. Step 3: Cross multiply
    32,688x = 45,110.16 × 17,784
  4. Step 4: Simplify right side
    32,688x = 802,239,085.44
  5. Step 5: Solve for x
    x = 802,239,085.44/32,688
  6. Step 6: Final answer
    x = 24,542.31

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Why These Related Problems?

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