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Finding the Fourth Proportional to 7,897,607.80, 11,846,411.70 and 5,157,734.20

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Solution

The fourth proportional to 7,897,607.80, 11,846,411.70 and 5,157,734.20 is: 7,736,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897,607.80 : 11,846,411.70 = 5,157,734.20 : x
  2. Step 2: Convert to fraction form
    7,897,607.80/11,846,411.70 = 5,157,734.20/x
  3. Step 3: Cross multiply
    7,897,607.80x = 11,846,411.70 × 5,157,734.20
  4. Step 4: Simplify right side
    7,897,607.80x = 61,100,642,772,370.14
  5. Step 5: Solve for x
    x = 61,100,642,772,370.14/7,897,607.80
  6. Step 6: Final answer
    x = 7,736,601.30

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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.