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Finding the Fourth Proportional to 10,555.71, 14,569.32 and 6,971.38

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Solution

The fourth proportional to 10,555.71, 14,569.32 and 6,971.38 is: 9,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.71 : 14,569.32 = 6,971.38 : x
  2. Step 2: Convert to fraction form
    10,555.71/14,569.32 = 6,971.38/x
  3. Step 3: Cross multiply
    10,555.71x = 14,569.32 × 6,971.38
  4. Step 4: Simplify right side
    10,555.71x = 101,568,302.48
  5. Step 5: Solve for x
    x = 101,568,302.48/10,555.71
  6. Step 6: Final answer
    x = 9,622.12

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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.