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Finding the Fourth Proportional to 7,400, 10,207.68 and 4,606.40

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Solution

The fourth proportional to 7,400, 10,207.68 and 4,606.40 is: 6,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400 : 10,207.68 = 4,606.40 : x
  2. Step 2: Convert to fraction form
    7,400/10,207.68 = 4,606.40/x
  3. Step 3: Cross multiply
    7,400x = 10,207.68 × 4,606.40
  4. Step 4: Simplify right side
    7,400x = 47,020,657.15
  5. Step 5: Solve for x
    x = 47,020,657.15/7,400
  6. Step 6: Final answer
    x = 6,354.14

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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.