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Finding the Fourth Proportional to 7,209, 9,953.28 and 4,419.36

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Solution

The fourth proportional to 7,209, 9,953.28 and 4,419.36 is: 6,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 9,953.28 = 4,419.36 : x
  2. Step 2: Convert to fraction form
    7,209/9,953.28 = 4,419.36/x
  3. Step 3: Cross multiply
    7,209x = 9,953.28 × 4,419.36
  4. Step 4: Simplify right side
    7,209x = 43,987,127.50
  5. Step 5: Solve for x
    x = 43,987,127.50/7,209
  6. Step 6: Final answer
    x = 6,101.70

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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.