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Finding the Fourth Proportional to 10,430, 15,641.18 and 3,032.46

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Solution

The fourth proportional to 10,430, 15,641.18 and 3,032.46 is: 4,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 15,641.18 = 3,032.46 : x
  2. Step 2: Convert to fraction form
    10,430/15,641.18 = 3,032.46/x
  3. Step 3: Cross multiply
    10,430x = 15,641.18 × 3,032.46
  4. Step 4: Simplify right side
    10,430x = 47,431,252.70
  5. Step 5: Solve for x
    x = 47,431,252.70/10,430
  6. Step 6: Final answer
    x = 4,547.58

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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.