Home / 32,688-45,109.76-17,784.32

Finding the Fourth Proportional to 32,688, 45,109.76 and 17,784.32

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Solution

The fourth proportional to 32,688, 45,109.76 and 17,784.32 is: 24,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688 : 45,109.76 = 17,784.32 : x
  2. Step 2: Convert to fraction form
    32,688/45,109.76 = 17,784.32/x
  3. Step 3: Cross multiply
    32,688x = 45,109.76 × 17,784.32
  4. Step 4: Simplify right side
    32,688x = 802,246,406.96
  5. Step 5: Solve for x
    x = 802,246,406.96/32,688
  6. Step 6: Final answer
    x = 24,542.54

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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.