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Finding the Fourth Proportional to 8,929, 12,316.46 and 5,746.45

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Solution

The fourth proportional to 8,929, 12,316.46 and 5,746.45 is: 7,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929 : 12,316.46 = 5,746.45 : x
  2. Step 2: Convert to fraction form
    8,929/12,316.46 = 5,746.45/x
  3. Step 3: Cross multiply
    8,929x = 12,316.46 × 5,746.45
  4. Step 4: Simplify right side
    8,929x = 70,775,935.93
  5. Step 5: Solve for x
    x = 70,775,935.93/8,929
  6. Step 6: Final answer
    x = 7,926.52

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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.