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Finding the Fourth Proportional to 6,938.61, 9,578.13 and 4,703.55

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Solution

The fourth proportional to 6,938.61, 9,578.13 and 4,703.55 is: 6,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.61 : 9,578.13 = 4,703.55 : x
  2. Step 2: Convert to fraction form
    6,938.61/9,578.13 = 4,703.55/x
  3. Step 3: Cross multiply
    6,938.61x = 9,578.13 × 4,703.55
  4. Step 4: Simplify right side
    6,938.61x = 45,051,141.95
  5. Step 5: Solve for x
    x = 45,051,141.95/6,938.61
  6. Step 6: Final answer
    x = 6,492.82

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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.