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Finding the Fourth Proportional to 9,572, 13,206.12 and 6,036.08

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Solution

The fourth proportional to 9,572, 13,206.12 and 6,036.08 is: 8,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572 : 13,206.12 = 6,036.08 : x
  2. Step 2: Convert to fraction form
    9,572/13,206.12 = 6,036.08/x
  3. Step 3: Cross multiply
    9,572x = 13,206.12 × 6,036.08
  4. Step 4: Simplify right side
    9,572x = 79,713,196.81
  5. Step 5: Solve for x
    x = 79,713,196.81/9,572
  6. Step 6: Final answer
    x = 8,327.75

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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.