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Finding the Fourth Proportional to 37,320, 51,501.60 and 20,553

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Solution

The fourth proportional to 37,320, 51,501.60 and 20,553 is: 28,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320 : 51,501.60 = 20,553 : x
  2. Step 2: Convert to fraction form
    37,320/51,501.60 = 20,553/x
  3. Step 3: Cross multiply
    37,320x = 51,501.60 × 20,553
  4. Step 4: Simplify right side
    37,320x = 1,058,512,384.80
  5. Step 5: Solve for x
    x = 1,058,512,384.80/37,320
  6. Step 6: Final answer
    x = 28,363.14

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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.