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Finding the Fourth Proportional to 9,897.84, 13,659.28 and 5,649.50

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Solution

The fourth proportional to 9,897.84, 13,659.28 and 5,649.50 is: 7,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.84 : 13,659.28 = 5,649.50 : x
  2. Step 2: Convert to fraction form
    9,897.84/13,659.28 = 5,649.50/x
  3. Step 3: Cross multiply
    9,897.84x = 13,659.28 × 5,649.50
  4. Step 4: Simplify right side
    9,897.84x = 77,168,122.38
  5. Step 5: Solve for x
    x = 77,168,122.38/9,897.84
  6. Step 6: Final answer
    x = 7,796.46

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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.