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Finding the Fourth Proportional to 4,970.16, 7,455 and 1,272.48

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Solution

The fourth proportional to 4,970.16, 7,455 and 1,272.48 is: 1,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.16 : 7,455 = 1,272.48 : x
  2. Step 2: Convert to fraction form
    4,970.16/7,455 = 1,272.48/x
  3. Step 3: Cross multiply
    4,970.16x = 7,455 × 1,272.48
  4. Step 4: Simplify right side
    4,970.16x = 9,486,338.40
  5. Step 5: Solve for x
    x = 9,486,338.40/4,970.16
  6. Step 6: Final answer
    x = 1,908.66

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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.