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Finding the Fourth Proportional to 9,671.84, 13,348.16 and 5,480.40

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Solution

The fourth proportional to 9,671.84, 13,348.16 and 5,480.40 is: 7,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.84 : 13,348.16 = 5,480.40 : x
  2. Step 2: Convert to fraction form
    9,671.84/13,348.16 = 5,480.40/x
  3. Step 3: Cross multiply
    9,671.84x = 13,348.16 × 5,480.40
  4. Step 4: Simplify right side
    9,671.84x = 73,153,256.06
  5. Step 5: Solve for x
    x = 73,153,256.06/9,671.84
  6. Step 6: Final answer
    x = 7,563.53

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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.