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Finding the Fourth Proportional to 1,897.86, 2,849.40 and 974.13

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Solution

The fourth proportional to 1,897.86, 2,849.40 and 974.13 is: 1,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.86 : 2,849.40 = 974.13 : x
  2. Step 2: Convert to fraction form
    1,897.86/2,849.40 = 974.13/x
  3. Step 3: Cross multiply
    1,897.86x = 2,849.40 × 974.13
  4. Step 4: Simplify right side
    1,897.86x = 2,775,686.02
  5. Step 5: Solve for x
    x = 2,775,686.02/1,897.86
  6. Step 6: Final answer
    x = 1,462.53

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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.