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Finding the Fourth Proportional to 8,970.51, 13,457.81 and 2,731.40

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Solution

The fourth proportional to 8,970.51, 13,457.81 and 2,731.40 is: 4,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.51 : 13,457.81 = 2,731.40 : x
  2. Step 2: Convert to fraction form
    8,970.51/13,457.81 = 2,731.40/x
  3. Step 3: Cross multiply
    8,970.51x = 13,457.81 × 2,731.40
  4. Step 4: Simplify right side
    8,970.51x = 36,758,662.23
  5. Step 5: Solve for x
    x = 36,758,662.23/8,970.51
  6. Step 6: Final answer
    x = 4,097.72

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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.