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Finding the Fourth Proportional to 9,830.39, 13,566.17 and 5,354.39

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Solution

The fourth proportional to 9,830.39, 13,566.17 and 5,354.39 is: 7,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.39 : 13,566.17 = 5,354.39 : x
  2. Step 2: Convert to fraction form
    9,830.39/13,566.17 = 5,354.39/x
  3. Step 3: Cross multiply
    9,830.39x = 13,566.17 × 5,354.39
  4. Step 4: Simplify right side
    9,830.39x = 72,638,564.99
  5. Step 5: Solve for x
    x = 72,638,564.99/9,830.39
  6. Step 6: Final answer
    x = 7,389.18

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1.5x scale

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.