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Finding the Fourth Proportional to 9,699.90, 13,385.47 and 5,929.38

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Solution

The fourth proportional to 9,699.90, 13,385.47 and 5,929.38 is: 8,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.90 : 13,385.47 = 5,929.38 : x
  2. Step 2: Convert to fraction form
    9,699.90/13,385.47 = 5,929.38/x
  3. Step 3: Cross multiply
    9,699.90x = 13,385.47 × 5,929.38
  4. Step 4: Simplify right side
    9,699.90x = 79,367,538.11
  5. Step 5: Solve for x
    x = 79,367,538.11/9,699.90
  6. Step 6: Final answer
    x = 8,182.30

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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.