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Finding the Fourth Proportional to 53,002.92, 73,208.16 and 38,640

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Solution

The fourth proportional to 53,002.92, 73,208.16 and 38,640 is: 53,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002.92 : 73,208.16 = 38,640 : x
  2. Step 2: Convert to fraction form
    53,002.92/73,208.16 = 38,640/x
  3. Step 3: Cross multiply
    53,002.92x = 73,208.16 × 38,640
  4. Step 4: Simplify right side
    53,002.92x = 2,828,763,302.40
  5. Step 5: Solve for x
    x = 2,828,763,302.40/53,002.92
  6. Step 6: Final answer
    x = 53,369.95

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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.