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Finding the Fourth Proportional to 11,603.70, 17,386.65 and 7,209.18

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Solution

The fourth proportional to 11,603.70, 17,386.65 and 7,209.18 is: 10,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.70 : 17,386.65 = 7,209.18 : x
  2. Step 2: Convert to fraction form
    11,603.70/17,386.65 = 7,209.18/x
  3. Step 3: Cross multiply
    11,603.70x = 17,386.65 × 7,209.18
  4. Step 4: Simplify right side
    11,603.70x = 125,343,489.45
  5. Step 5: Solve for x
    x = 125,343,489.45/11,603.70
  6. Step 6: Final answer
    x = 10,802.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.