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Finding the Fourth Proportional to 7,643.56, 10,547.78 and 4,501.80

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Solution

The fourth proportional to 7,643.56, 10,547.78 and 4,501.80 is: 6,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.56 : 10,547.78 = 4,501.80 : x
  2. Step 2: Convert to fraction form
    7,643.56/10,547.78 = 4,501.80/x
  3. Step 3: Cross multiply
    7,643.56x = 10,547.78 × 4,501.80
  4. Step 4: Simplify right side
    7,643.56x = 47,483,996.00
  5. Step 5: Solve for x
    x = 47,483,996.00/7,643.56
  6. Step 6: Final answer
    x = 6,212.29

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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.