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Finding the Fourth Proportional to 7,637.60, 10,547.11 and 7,223.43

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Solution

The fourth proportional to 7,637.60, 10,547.11 and 7,223.43 is: 9,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.60 : 10,547.11 = 7,223.43 : x
  2. Step 2: Convert to fraction form
    7,637.60/10,547.11 = 7,223.43/x
  3. Step 3: Cross multiply
    7,637.60x = 10,547.11 × 7,223.43
  4. Step 4: Simplify right side
    7,637.60x = 76,186,310.79
  5. Step 5: Solve for x
    x = 76,186,310.79/7,637.60
  6. Step 6: Final answer
    x = 9,975.16

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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.