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Finding the Fourth Proportional to 9,281.78, 12,808.86 and 5,090

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Solution

The fourth proportional to 9,281.78, 12,808.86 and 5,090 is: 7,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.78 : 12,808.86 = 5,090 : x
  2. Step 2: Convert to fraction form
    9,281.78/12,808.86 = 5,090/x
  3. Step 3: Cross multiply
    9,281.78x = 12,808.86 × 5,090
  4. Step 4: Simplify right side
    9,281.78x = 65,197,097.40
  5. Step 5: Solve for x
    x = 65,197,097.40/9,281.78
  6. Step 6: Final answer
    x = 7,024.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.