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Finding the Fourth Proportional to 4,655.84, 6,424.80 and 2,560

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Solution

The fourth proportional to 4,655.84, 6,424.80 and 2,560 is: 3,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.84 : 6,424.80 = 2,560 : x
  2. Step 2: Convert to fraction form
    4,655.84/6,424.80 = 2,560/x
  3. Step 3: Cross multiply
    4,655.84x = 6,424.80 × 2,560
  4. Step 4: Simplify right side
    4,655.84x = 16,447,488
  5. Step 5: Solve for x
    x = 16,447,488/4,655.84
  6. Step 6: Final answer
    x = 3,532.66

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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.