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Finding the Fourth Proportional to 7,630.63, 10,543.43 and 6,302.05

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Solution

The fourth proportional to 7,630.63, 10,543.43 and 6,302.05 is: 8,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.63 : 10,543.43 = 6,302.05 : x
  2. Step 2: Convert to fraction form
    7,630.63/10,543.43 = 6,302.05/x
  3. Step 3: Cross multiply
    7,630.63x = 10,543.43 × 6,302.05
  4. Step 4: Simplify right side
    7,630.63x = 66,445,223.03
  5. Step 5: Solve for x
    x = 66,445,223.03/7,630.63
  6. Step 6: Final answer
    x = 8,707.70

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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.