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Finding the Fourth Proportional to 37,664, 56,496 and 13,040

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Solution

The fourth proportional to 37,664, 56,496 and 13,040 is: 19,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664 : 56,496 = 13,040 : x
  2. Step 2: Convert to fraction form
    37,664/56,496 = 13,040/x
  3. Step 3: Cross multiply
    37,664x = 56,496 × 13,040
  4. Step 4: Simplify right side
    37,664x = 736,707,840
  5. Step 5: Solve for x
    x = 736,707,840/37,664
  6. Step 6: Final answer
    x = 19,560

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.