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Finding the Fourth Proportional to 6,495.84, 8,959.36 and 4,506.40

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Solution

The fourth proportional to 6,495.84, 8,959.36 and 4,506.40 is: 6,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.84 : 8,959.36 = 4,506.40 : x
  2. Step 2: Convert to fraction form
    6,495.84/8,959.36 = 4,506.40/x
  3. Step 3: Cross multiply
    6,495.84x = 8,959.36 × 4,506.40
  4. Step 4: Simplify right side
    6,495.84x = 40,374,459.90
  5. Step 5: Solve for x
    x = 40,374,459.90/6,495.84
  6. Step 6: Final answer
    x = 6,215.43

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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.