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Finding the Fourth Proportional to 13,157.16, 19,730.70 and 7,152

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Solution

The fourth proportional to 13,157.16, 19,730.70 and 7,152 is: 10,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.16 : 19,730.70 = 7,152 : x
  2. Step 2: Convert to fraction form
    13,157.16/19,730.70 = 7,152/x
  3. Step 3: Cross multiply
    13,157.16x = 19,730.70 × 7,152
  4. Step 4: Simplify right side
    13,157.16x = 141,113,966.40
  5. Step 5: Solve for x
    x = 141,113,966.40/13,157.16
  6. Step 6: Final answer
    x = 10,725.26

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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.