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Finding the Fourth Proportional to 1,929.95, 2,900.59 and 1,602.99

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Solution

The fourth proportional to 1,929.95, 2,900.59 and 1,602.99 is: 2,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.95 : 2,900.59 = 1,602.99 : x
  2. Step 2: Convert to fraction form
    1,929.95/2,900.59 = 1,602.99/x
  3. Step 3: Cross multiply
    1,929.95x = 2,900.59 × 1,602.99
  4. Step 4: Simplify right side
    1,929.95x = 4,649,616.76
  5. Step 5: Solve for x
    x = 4,649,616.76/1,929.95
  6. Step 6: Final answer
    x = 2,409.19

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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.