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Finding the Fourth Proportional to 9,959.93, 14,948.40 and 5,283.20

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Solution

The fourth proportional to 9,959.93, 14,948.40 and 5,283.20 is: 7,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.93 : 14,948.40 = 5,283.20 : x
  2. Step 2: Convert to fraction form
    9,959.93/14,948.40 = 5,283.20/x
  3. Step 3: Cross multiply
    9,959.93x = 14,948.40 × 5,283.20
  4. Step 4: Simplify right side
    9,959.93x = 78,975,312.14
  5. Step 5: Solve for x
    x = 78,975,312.14/9,959.93
  6. Step 6: Final answer
    x = 7,929.31

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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.