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Finding the Fourth Proportional to 9,779.40, 14,648.51 and 7,689.53

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Solution

The fourth proportional to 9,779.40, 14,648.51 and 7,689.53 is: 11,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.40 : 14,648.51 = 7,689.53 : x
  2. Step 2: Convert to fraction form
    9,779.40/14,648.51 = 7,689.53/x
  3. Step 3: Cross multiply
    9,779.40x = 14,648.51 × 7,689.53
  4. Step 4: Simplify right side
    9,779.40x = 112,640,212.95
  5. Step 5: Solve for x
    x = 112,640,212.95/9,779.40
  6. Step 6: Final answer
    x = 11,518.11

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1.5x scale

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.