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Finding the Fourth Proportional to 9,705.46, 13,398.04 and 7,316.40

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Solution

The fourth proportional to 9,705.46, 13,398.04 and 7,316.40 is: 10,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.46 : 13,398.04 = 7,316.40 : x
  2. Step 2: Convert to fraction form
    9,705.46/13,398.04 = 7,316.40/x
  3. Step 3: Cross multiply
    9,705.46x = 13,398.04 × 7,316.40
  4. Step 4: Simplify right side
    9,705.46x = 98,025,361.34
  5. Step 5: Solve for x
    x = 98,025,361.34/9,705.46
  6. Step 6: Final answer
    x = 10,100.02

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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.