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Finding the Fourth Proportional to 29,971.40, 45,005.70 and 21,709.40

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Solution

The fourth proportional to 29,971.40, 45,005.70 and 21,709.40 is: 32,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.40 : 45,005.70 = 21,709.40 : x
  2. Step 2: Convert to fraction form
    29,971.40/45,005.70 = 21,709.40/x
  3. Step 3: Cross multiply
    29,971.40x = 45,005.70 × 21,709.40
  4. Step 4: Simplify right side
    29,971.40x = 977,046,743.58
  5. Step 5: Solve for x
    x = 977,046,743.58/29,971.40
  6. Step 6: Final answer
    x = 32,599.30

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1.5x scale

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.