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Finding the Fourth Proportional to 38,496, 57,744 and 9,312

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Solution

The fourth proportional to 38,496, 57,744 and 9,312 is: 13,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 57,744 = 9,312 : x
  2. Step 2: Convert to fraction form
    38,496/57,744 = 9,312/x
  3. Step 3: Cross multiply
    38,496x = 57,744 × 9,312
  4. Step 4: Simplify right side
    38,496x = 537,712,128
  5. Step 5: Solve for x
    x = 537,712,128/38,496
  6. Step 6: Final answer
    x = 13,968

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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.