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Finding the Fourth Proportional to 9,572, 13,209.12 and 5,323.08

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Solution

The fourth proportional to 9,572, 13,209.12 and 5,323.08 is: 7,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572 : 13,209.12 = 5,323.08 : x
  2. Step 2: Convert to fraction form
    9,572/13,209.12 = 5,323.08/x
  3. Step 3: Cross multiply
    9,572x = 13,209.12 × 5,323.08
  4. Step 4: Simplify right side
    9,572x = 70,313,202.49
  5. Step 5: Solve for x
    x = 70,313,202.49/9,572
  6. Step 6: Final answer
    x = 7,345.72

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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.