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Finding the Fourth Proportional to 32,688, 45,113.28 and 19,440

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Solution

The fourth proportional to 32,688, 45,113.28 and 19,440 is: 26,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688 : 45,113.28 = 19,440 : x
  2. Step 2: Convert to fraction form
    32,688/45,113.28 = 19,440/x
  3. Step 3: Cross multiply
    32,688x = 45,113.28 × 19,440
  4. Step 4: Simplify right side
    32,688x = 877,002,163.20
  5. Step 5: Solve for x
    x = 877,002,163.20/32,688
  6. Step 6: Final answer
    x = 26,829.48

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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.