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Finding the Fourth Proportional to 9,957.40, 14,918.10 and 4,751.80

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Solution

The fourth proportional to 9,957.40, 14,918.10 and 4,751.80 is: 7,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.40 : 14,918.10 = 4,751.80 : x
  2. Step 2: Convert to fraction form
    9,957.40/14,918.10 = 4,751.80/x
  3. Step 3: Cross multiply
    9,957.40x = 14,918.10 × 4,751.80
  4. Step 4: Simplify right side
    9,957.40x = 70,887,827.58
  5. Step 5: Solve for x
    x = 70,887,827.58/9,957.40
  6. Step 6: Final answer
    x = 7,119.11

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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.