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Finding the Fourth Proportional to 15,783.84, 21,785.52 and 9,495

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Solution

The fourth proportional to 15,783.84, 21,785.52 and 9,495 is: 13,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.84 : 21,785.52 = 9,495 : x
  2. Step 2: Convert to fraction form
    15,783.84/21,785.52 = 9,495/x
  3. Step 3: Cross multiply
    15,783.84x = 21,785.52 × 9,495
  4. Step 4: Simplify right side
    15,783.84x = 206,853,512.40
  5. Step 5: Solve for x
    x = 206,853,512.40/15,783.84
  6. Step 6: Final answer
    x = 13,105.40

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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.