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Finding the Fourth Proportional to 13,117, 18,100.93 and 7,148.54

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Solution

The fourth proportional to 13,117, 18,100.93 and 7,148.54 is: 9,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117 : 18,100.93 = 7,148.54 : x
  2. Step 2: Convert to fraction form
    13,117/18,100.93 = 7,148.54/x
  3. Step 3: Cross multiply
    13,117x = 18,100.93 × 7,148.54
  4. Step 4: Simplify right side
    13,117x = 129,395,186.40
  5. Step 5: Solve for x
    x = 129,395,186.40/13,117
  6. Step 6: Final answer
    x = 9,864.69

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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.