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Finding the Fourth Proportional to 4,702.86, 7,055.10 and 1,415.68

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Solution

The fourth proportional to 4,702.86, 7,055.10 and 1,415.68 is: 2,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.86 : 7,055.10 = 1,415.68 : x
  2. Step 2: Convert to fraction form
    4,702.86/7,055.10 = 1,415.68/x
  3. Step 3: Cross multiply
    4,702.86x = 7,055.10 × 1,415.68
  4. Step 4: Simplify right side
    4,702.86x = 9,987,746.33
  5. Step 5: Solve for x
    x = 9,987,746.33/4,702.86
  6. Step 6: Final answer
    x = 2,123.76

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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.