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Finding the Fourth Proportional to 5,302.98, 7,955.76 and 1,605

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Solution

The fourth proportional to 5,302.98, 7,955.76 and 1,605 is: 2,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.98 : 7,955.76 = 1,605 : x
  2. Step 2: Convert to fraction form
    5,302.98/7,955.76 = 1,605/x
  3. Step 3: Cross multiply
    5,302.98x = 7,955.76 × 1,605
  4. Step 4: Simplify right side
    5,302.98x = 12,768,994.80
  5. Step 5: Solve for x
    x = 12,768,994.80/5,302.98
  6. Step 6: Final answer
    x = 2,407.89

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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.