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Finding the Fourth Proportional to 9,603.78, 14,341.64 and 9,111.70

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Solution

The fourth proportional to 9,603.78, 14,341.64 and 9,111.70 is: 13,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.78 : 14,341.64 = 9,111.70 : x
  2. Step 2: Convert to fraction form
    9,603.78/14,341.64 = 9,111.70/x
  3. Step 3: Cross multiply
    9,603.78x = 14,341.64 × 9,111.70
  4. Step 4: Simplify right side
    9,603.78x = 130,676,719.18
  5. Step 5: Solve for x
    x = 130,676,719.18/9,603.78
  6. Step 6: Final answer
    x = 13,606.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.