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Finding the Fourth Proportional to 12,902.10, 17,806.29 and 7,312.50

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Solution

The fourth proportional to 12,902.10, 17,806.29 and 7,312.50 is: 10,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.10 : 17,806.29 = 7,312.50 : x
  2. Step 2: Convert to fraction form
    12,902.10/17,806.29 = 7,312.50/x
  3. Step 3: Cross multiply
    12,902.10x = 17,806.29 × 7,312.50
  4. Step 4: Simplify right side
    12,902.10x = 130,208,495.63
  5. Step 5: Solve for x
    x = 130,208,495.63/12,902.10
  6. Step 6: Final answer
    x = 10,092.04

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1.5x scale

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.