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Finding the Fourth Proportional to 9,570, 13,206.36 and 5,321.07

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Solution

The fourth proportional to 9,570, 13,206.36 and 5,321.07 is: 7,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 13,206.36 = 5,321.07 : x
  2. Step 2: Convert to fraction form
    9,570/13,206.36 = 5,321.07/x
  3. Step 3: Cross multiply
    9,570x = 13,206.36 × 5,321.07
  4. Step 4: Simplify right side
    9,570x = 70,271,966.01
  5. Step 5: Solve for x
    x = 70,271,966.01/9,570
  6. Step 6: Final answer
    x = 7,342.94

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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.