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Finding the Fourth Proportional to 4,702.17, 7,053.30 and 1,415.40

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Solution

The fourth proportional to 4,702.17, 7,053.30 and 1,415.40 is: 2,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.17 : 7,053.30 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    4,702.17/7,053.30 = 1,415.40/x
  3. Step 3: Cross multiply
    4,702.17x = 7,053.30 × 1,415.40
  4. Step 4: Simplify right side
    4,702.17x = 9,983,240.82
  5. Step 5: Solve for x
    x = 9,983,240.82/4,702.17
  6. Step 6: Final answer
    x = 2,123.11

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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.