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Finding the Fourth Proportional to 29,341.60, 40,491.78 and 15,913

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Solution

The fourth proportional to 29,341.60, 40,491.78 and 15,913 is: 21,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,341.60 : 40,491.78 = 15,913 : x
  2. Step 2: Convert to fraction form
    29,341.60/40,491.78 = 15,913/x
  3. Step 3: Cross multiply
    29,341.60x = 40,491.78 × 15,913
  4. Step 4: Simplify right side
    29,341.60x = 644,345,695.14
  5. Step 5: Solve for x
    x = 644,345,695.14/29,341.60
  6. Step 6: Final answer
    x = 21,960.14

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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.