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Finding the Fourth Proportional to 1,862.95, 2,570.03 and 1,490.45

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Solution

The fourth proportional to 1,862.95, 2,570.03 and 1,490.45 is: 2,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.95 : 2,570.03 = 1,490.45 : x
  2. Step 2: Convert to fraction form
    1,862.95/2,570.03 = 1,490.45/x
  3. Step 3: Cross multiply
    1,862.95x = 2,570.03 × 1,490.45
  4. Step 4: Simplify right side
    1,862.95x = 3,830,500.96
  5. Step 5: Solve for x
    x = 3,830,500.96/1,862.95
  6. Step 6: Final answer
    x = 2,056.15

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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.