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Finding the Fourth Proportional to 10,533, 15,717.79 and 9,133.32

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Solution

The fourth proportional to 10,533, 15,717.79 and 9,133.32 is: 13,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533 : 15,717.79 = 9,133.32 : x
  2. Step 2: Convert to fraction form
    10,533/15,717.79 = 9,133.32/x
  3. Step 3: Cross multiply
    10,533x = 15,717.79 × 9,133.32
  4. Step 4: Simplify right side
    10,533x = 143,555,605.76
  5. Step 5: Solve for x
    x = 143,555,605.76/10,533
  6. Step 6: Final answer
    x = 13,629.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.