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Finding the Fourth Proportional to 7,223,814.16, 9,968,810.85 and 3,960,575.07

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Solution

The fourth proportional to 7,223,814.16, 9,968,810.85 and 3,960,575.07 is: 5,465,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223,814.16 : 9,968,810.85 = 3,960,575.07 : x
  2. Step 2: Convert to fraction form
    7,223,814.16/9,968,810.85 = 3,960,575.07/x
  3. Step 3: Cross multiply
    7,223,814.16x = 9,968,810.85 × 3,960,575.07
  4. Step 4: Simplify right side
    7,223,814.16x = 39,482,223,730,055.51
  5. Step 5: Solve for x
    x = 39,482,223,730,055.51/7,223,814.16
  6. Step 6: Final answer
    x = 5,465,564.71

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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.