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Finding the Fourth Proportional to 4,655.12, 6,981.84 and 1,323.59

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Solution

The fourth proportional to 4,655.12, 6,981.84 and 1,323.59 is: 1,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.12 : 6,981.84 = 1,323.59 : x
  2. Step 2: Convert to fraction form
    4,655.12/6,981.84 = 1,323.59/x
  3. Step 3: Cross multiply
    4,655.12x = 6,981.84 × 1,323.59
  4. Step 4: Simplify right side
    4,655.12x = 9,241,058.70
  5. Step 5: Solve for x
    x = 9,241,058.70/4,655.12
  6. Step 6: Final answer
    x = 1,985.14

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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.