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Finding the Fourth Proportional to 10,498, 14,484.36 and 7,307.72

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Solution

The fourth proportional to 10,498, 14,484.36 and 7,307.72 is: 10,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 14,484.36 = 7,307.72 : x
  2. Step 2: Convert to fraction form
    10,498/14,484.36 = 7,307.72/x
  3. Step 3: Cross multiply
    10,498x = 14,484.36 × 7,307.72
  4. Step 4: Simplify right side
    10,498x = 105,847,647.26
  5. Step 5: Solve for x
    x = 105,847,647.26/10,498
  6. Step 6: Final answer
    x = 10,082.65

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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.