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Finding the Fourth Proportional to 7,394, 10,203.70 and 4,741.40

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Solution

The fourth proportional to 7,394, 10,203.70 and 4,741.40 is: 6,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394 : 10,203.70 = 4,741.40 : x
  2. Step 2: Convert to fraction form
    7,394/10,203.70 = 4,741.40/x
  3. Step 3: Cross multiply
    7,394x = 10,203.70 × 4,741.40
  4. Step 4: Simplify right side
    7,394x = 48,379,823.18
  5. Step 5: Solve for x
    x = 48,379,823.18/7,394
  6. Step 6: Final answer
    x = 6,543.12

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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.