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Finding the Fourth Proportional to 1,607.50, 2,407.38 and 1,347.40

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Solution

The fourth proportional to 1,607.50, 2,407.38 and 1,347.40 is: 2,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.50 : 2,407.38 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    1,607.50/2,407.38 = 1,347.40/x
  3. Step 3: Cross multiply
    1,607.50x = 2,407.38 × 1,347.40
  4. Step 4: Simplify right side
    1,607.50x = 3,243,703.81
  5. Step 5: Solve for x
    x = 3,243,703.81/1,607.50
  6. Step 6: Final answer
    x = 2,017.86

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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.