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Finding the Fourth Proportional to 12,547.96, 17,312.22 and 7,834.96

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Solution

The fourth proportional to 12,547.96, 17,312.22 and 7,834.96 is: 10,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.96 : 17,312.22 = 7,834.96 : x
  2. Step 2: Convert to fraction form
    12,547.96/17,312.22 = 7,834.96/x
  3. Step 3: Cross multiply
    12,547.96x = 17,312.22 × 7,834.96
  4. Step 4: Simplify right side
    12,547.96x = 135,640,551.21
  5. Step 5: Solve for x
    x = 135,640,551.21/12,547.96
  6. Step 6: Final answer
    x = 10,809.77

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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.