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Finding the Fourth Proportional to 13,547, 18,694.34 and 7,579.22

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Solution

The fourth proportional to 13,547, 18,694.34 and 7,579.22 is: 10,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547 : 18,694.34 = 7,579.22 : x
  2. Step 2: Convert to fraction form
    13,547/18,694.34 = 7,579.22/x
  3. Step 3: Cross multiply
    13,547x = 18,694.34 × 7,579.22
  4. Step 4: Simplify right side
    13,547x = 141,688,515.61
  5. Step 5: Solve for x
    x = 141,688,515.61/13,547
  6. Step 6: Final answer
    x = 10,459.03

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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.