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Finding the Fourth Proportional to 7,287,780.80, 10,938,280.80 and 3,696,046.40

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Solution

The fourth proportional to 7,287,780.80, 10,938,280.80 and 3,696,046.40 is: 5,547,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,780.80 : 10,938,280.80 = 3,696,046.40 : x
  2. Step 2: Convert to fraction form
    7,287,780.80/10,938,280.80 = 3,696,046.40/x
  3. Step 3: Cross multiply
    7,287,780.80x = 10,938,280.80 × 3,696,046.40
  4. Step 4: Simplify right side
    7,287,780.80x = 40,428,393,373,029.12
  5. Step 5: Solve for x
    x = 40,428,393,373,029.12/7,287,780.80
  6. Step 6: Final answer
    x = 5,547,421.70

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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.