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Finding the Fourth Proportional to 31,491, 43,457.64 and 17,345.16

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Solution

The fourth proportional to 31,491, 43,457.64 and 17,345.16 is: 23,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491 : 43,457.64 = 17,345.16 : x
  2. Step 2: Convert to fraction form
    31,491/43,457.64 = 17,345.16/x
  3. Step 3: Cross multiply
    31,491x = 43,457.64 × 17,345.16
  4. Step 4: Simplify right side
    31,491x = 753,779,719.02
  5. Step 5: Solve for x
    x = 753,779,719.02/31,491
  6. Step 6: Final answer
    x = 23,936.35

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Double scale
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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.