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Finding the Fourth Proportional to 2,701.47, 4,052.31 and 970.11

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Solution

The fourth proportional to 2,701.47, 4,052.31 and 970.11 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.47 : 4,052.31 = 970.11 : x
  2. Step 2: Convert to fraction form
    2,701.47/4,052.31 = 970.11/x
  3. Step 3: Cross multiply
    2,701.47x = 4,052.31 × 970.11
  4. Step 4: Simplify right side
    2,701.47x = 3,931,186.45
  5. Step 5: Solve for x
    x = 3,931,186.45/2,701.47
  6. Step 6: Final answer
    x = 1,455.20

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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.