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Finding the Fourth Proportional to 10,489.54, 14,476.98 and 9,603.76

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Solution

The fourth proportional to 10,489.54, 14,476.98 and 9,603.76 is: 13,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.54 : 14,476.98 = 9,603.76 : x
  2. Step 2: Convert to fraction form
    10,489.54/14,476.98 = 9,603.76/x
  3. Step 3: Cross multiply
    10,489.54x = 14,476.98 × 9,603.76
  4. Step 4: Simplify right side
    10,489.54x = 139,033,441.44
  5. Step 5: Solve for x
    x = 139,033,441.44/10,489.54
  6. Step 6: Final answer
    x = 13,254.48

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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.