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Finding the Fourth Proportional to 38,476.75, 53,120 and 29,330.32

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Solution

The fourth proportional to 38,476.75, 53,120 and 29,330.32 is: 40,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.75 : 53,120 = 29,330.32 : x
  2. Step 2: Convert to fraction form
    38,476.75/53,120 = 29,330.32/x
  3. Step 3: Cross multiply
    38,476.75x = 53,120 × 29,330.32
  4. Step 4: Simplify right side
    38,476.75x = 1,558,026,598.40
  5. Step 5: Solve for x
    x = 1,558,026,598.40/38,476.75
  6. Step 6: Final answer
    x = 40,492.68

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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.