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Finding the Fourth Proportional to 38,460.84, 53,076 and 21,233.22

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Solution

The fourth proportional to 38,460.84, 53,076 and 21,233.22 is: 29,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.84 : 53,076 = 21,233.22 : x
  2. Step 2: Convert to fraction form
    38,460.84/53,076 = 21,233.22/x
  3. Step 3: Cross multiply
    38,460.84x = 53,076 × 21,233.22
  4. Step 4: Simplify right side
    38,460.84x = 1,126,974,384.72
  5. Step 5: Solve for x
    x = 1,126,974,384.72/38,460.84
  6. Step 6: Final answer
    x = 29,301.87

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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.