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Finding the Fourth Proportional to 9,929.56, 13,696.86 and 6,903.40

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Solution

The fourth proportional to 9,929.56, 13,696.86 and 6,903.40 is: 9,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.56 : 13,696.86 = 6,903.40 : x
  2. Step 2: Convert to fraction form
    9,929.56/13,696.86 = 6,903.40/x
  3. Step 3: Cross multiply
    9,929.56x = 13,696.86 × 6,903.40
  4. Step 4: Simplify right side
    9,929.56x = 94,554,903.32
  5. Step 5: Solve for x
    x = 94,554,903.32/9,929.56
  6. Step 6: Final answer
    x = 9,522.57

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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.