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Finding the Fourth Proportional to 9,840.47, 13,583.63 and 7,208.78

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Solution

The fourth proportional to 9,840.47, 13,583.63 and 7,208.78 is: 9,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.47 : 13,583.63 = 7,208.78 : x
  2. Step 2: Convert to fraction form
    9,840.47/13,583.63 = 7,208.78/x
  3. Step 3: Cross multiply
    9,840.47x = 13,583.63 × 7,208.78
  4. Step 4: Simplify right side
    9,840.47x = 97,921,350.38
  5. Step 5: Solve for x
    x = 97,921,350.38/9,840.47
  6. Step 6: Final answer
    x = 9,950.89

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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.