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Finding the Fourth Proportional to 38,496, 53,124.96 and 21,729.12

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Solution

The fourth proportional to 38,496, 53,124.96 and 21,729.12 is: 29,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496 : 53,124.96 = 21,729.12 : x
  2. Step 2: Convert to fraction form
    38,496/53,124.96 = 21,729.12/x
  3. Step 3: Cross multiply
    38,496x = 53,124.96 × 21,729.12
  4. Step 4: Simplify right side
    38,496x = 1,154,358,630.84
  5. Step 5: Solve for x
    x = 1,154,358,630.84/38,496
  6. Step 6: Final answer
    x = 29,986.46

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1.5x scale

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.