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Finding the Fourth Proportional to 12,547.81, 17,308.74 and 7,823.89

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Solution

The fourth proportional to 12,547.81, 17,308.74 and 7,823.89 is: 10,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.81 : 17,308.74 = 7,823.89 : x
  2. Step 2: Convert to fraction form
    12,547.81/17,308.74 = 7,823.89/x
  3. Step 3: Cross multiply
    12,547.81x = 17,308.74 × 7,823.89
  4. Step 4: Simplify right side
    12,547.81x = 135,421,677.80
  5. Step 5: Solve for x
    x = 135,421,677.80/12,547.81
  6. Step 6: Final answer
    x = 10,792.46

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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.