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Finding the Fourth Proportional to 10,959, 15,136.38 and 7,416.06

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Solution

The fourth proportional to 10,959, 15,136.38 and 7,416.06 is: 10,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959 : 15,136.38 = 7,416.06 : x
  2. Step 2: Convert to fraction form
    10,959/15,136.38 = 7,416.06/x
  3. Step 3: Cross multiply
    10,959x = 15,136.38 × 7,416.06
  4. Step 4: Simplify right side
    10,959x = 112,252,302.26
  5. Step 5: Solve for x
    x = 112,252,302.26/10,959
  6. Step 6: Final answer
    x = 10,242.93

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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.