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Finding the Fourth Proportional to 10,148.76, 15,217.38 and 7,407

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Solution

The fourth proportional to 10,148.76, 15,217.38 and 7,407 is: 11,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.76 : 15,217.38 = 7,407 : x
  2. Step 2: Convert to fraction form
    10,148.76/15,217.38 = 7,407/x
  3. Step 3: Cross multiply
    10,148.76x = 15,217.38 × 7,407
  4. Step 4: Simplify right side
    10,148.76x = 112,715,133.66
  5. Step 5: Solve for x
    x = 112,715,133.66/10,148.76
  6. Step 6: Final answer
    x = 11,106.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.