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Finding the Fourth Proportional to 3,130, 4,319.40 and 1,888.40

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Solution

The fourth proportional to 3,130, 4,319.40 and 1,888.40 is: 2,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130 : 4,319.40 = 1,888.40 : x
  2. Step 2: Convert to fraction form
    3,130/4,319.40 = 1,888.40/x
  3. Step 3: Cross multiply
    3,130x = 4,319.40 × 1,888.40
  4. Step 4: Simplify right side
    3,130x = 8,156,754.96
  5. Step 5: Solve for x
    x = 8,156,754.96/3,130
  6. Step 6: Final answer
    x = 2,605.99

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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.