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Finding the Fourth Proportional to 9,281.10, 13,918.95 and 5,123.10

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Solution

The fourth proportional to 9,281.10, 13,918.95 and 5,123.10 is: 7,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.10 : 13,918.95 = 5,123.10 : x
  2. Step 2: Convert to fraction form
    9,281.10/13,918.95 = 5,123.10/x
  3. Step 3: Cross multiply
    9,281.10x = 13,918.95 × 5,123.10
  4. Step 4: Simplify right side
    9,281.10x = 71,308,172.75
  5. Step 5: Solve for x
    x = 71,308,172.75/9,281.10
  6. Step 6: Final answer
    x = 7,683.16

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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.