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Finding the Fourth Proportional to 9,699.47, 13,391.69 and 7,457.39

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Solution

The fourth proportional to 9,699.47, 13,391.69 and 7,457.39 is: 10,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.47 : 13,391.69 = 7,457.39 : x
  2. Step 2: Convert to fraction form
    9,699.47/13,391.69 = 7,457.39/x
  3. Step 3: Cross multiply
    9,699.47x = 13,391.69 × 7,457.39
  4. Step 4: Simplify right side
    9,699.47x = 99,866,950.84
  5. Step 5: Solve for x
    x = 99,866,950.84/9,699.47
  6. Step 6: Final answer
    x = 10,296.13

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Half scale
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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.