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Finding the Fourth Proportional to 9,572, 13,209.29 and 5,322.99

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Solution

The fourth proportional to 9,572, 13,209.29 and 5,322.99 is: 7,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572 : 13,209.29 = 5,322.99 : x
  2. Step 2: Convert to fraction form
    9,572/13,209.29 = 5,322.99/x
  3. Step 3: Cross multiply
    9,572x = 13,209.29 × 5,322.99
  4. Step 4: Simplify right side
    9,572x = 70,312,918.58
  5. Step 5: Solve for x
    x = 70,312,918.58/9,572
  6. Step 6: Final answer
    x = 7,345.69

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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.