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Finding the Fourth Proportional to 12,948.04, 19,407.48 and 5,147.74

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Solution

The fourth proportional to 12,948.04, 19,407.48 and 5,147.74 is: 7,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.04 : 19,407.48 = 5,147.74 : x
  2. Step 2: Convert to fraction form
    12,948.04/19,407.48 = 5,147.74/x
  3. Step 3: Cross multiply
    12,948.04x = 19,407.48 × 5,147.74
  4. Step 4: Simplify right side
    12,948.04x = 99,904,661.10
  5. Step 5: Solve for x
    x = 99,904,661.10/12,948.04
  6. Step 6: Final answer
    x = 7,715.81

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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.