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Finding the Fourth Proportional to 7,038.60, 9,710.66 and 4,053

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Solution

The fourth proportional to 7,038.60, 9,710.66 and 4,053 is: 5,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.60 : 9,710.66 = 4,053 : x
  2. Step 2: Convert to fraction form
    7,038.60/9,710.66 = 4,053/x
  3. Step 3: Cross multiply
    7,038.60x = 9,710.66 × 4,053
  4. Step 4: Simplify right side
    7,038.60x = 39,357,304.98
  5. Step 5: Solve for x
    x = 39,357,304.98/7,038.60
  6. Step 6: Final answer
    x = 5,591.64

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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.