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Finding the Fourth Proportional to 4,713.42, 7,070.13 and 1,938.15

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Solution

The fourth proportional to 4,713.42, 7,070.13 and 1,938.15 is: 2,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.42 : 7,070.13 = 1,938.15 : x
  2. Step 2: Convert to fraction form
    4,713.42/7,070.13 = 1,938.15/x
  3. Step 3: Cross multiply
    4,713.42x = 7,070.13 × 1,938.15
  4. Step 4: Simplify right side
    4,713.42x = 13,702,972.46
  5. Step 5: Solve for x
    x = 13,702,972.46/4,713.42
  6. Step 6: Final answer
    x = 2,907.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.