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Finding the Fourth Proportional to 13,607.10, 18,778.86 and 7,640.10

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Solution

The fourth proportional to 13,607.10, 18,778.86 and 7,640.10 is: 10,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.10 : 18,778.86 = 7,640.10 : x
  2. Step 2: Convert to fraction form
    13,607.10/18,778.86 = 7,640.10/x
  3. Step 3: Cross multiply
    13,607.10x = 18,778.86 × 7,640.10
  4. Step 4: Simplify right side
    13,607.10x = 143,472,368.29
  5. Step 5: Solve for x
    x = 143,472,368.29/13,607.10
  6. Step 6: Final answer
    x = 10,543.93

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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.