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Finding the Fourth Proportional to 4,607.68, 6,915.12 and 1,687.84

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Solution

The fourth proportional to 4,607.68, 6,915.12 and 1,687.84 is: 2,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.68 : 6,915.12 = 1,687.84 : x
  2. Step 2: Convert to fraction form
    4,607.68/6,915.12 = 1,687.84/x
  3. Step 3: Cross multiply
    4,607.68x = 6,915.12 × 1,687.84
  4. Step 4: Simplify right side
    4,607.68x = 11,671,616.14
  5. Step 5: Solve for x
    x = 11,671,616.14/4,607.68
  6. Step 6: Final answer
    x = 2,533.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.