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Finding the Fourth Proportional to 19,810.96, 29,735 and 10,457.92

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Solution

The fourth proportional to 19,810.96, 29,735 and 10,457.92 is: 15,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.96 : 29,735 = 10,457.92 : x
  2. Step 2: Convert to fraction form
    19,810.96/29,735 = 10,457.92/x
  3. Step 3: Cross multiply
    19,810.96x = 29,735 × 10,457.92
  4. Step 4: Simplify right side
    19,810.96x = 310,966,251.20
  5. Step 5: Solve for x
    x = 310,966,251.20/19,810.96
  6. Step 6: Final answer
    x = 15,696.68

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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.