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Finding the Fourth Proportional to 14,547.61, 21,780.74 and 7,860.14

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Solution

The fourth proportional to 14,547.61, 21,780.74 and 7,860.14 is: 11,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.61 : 21,780.74 = 7,860.14 : x
  2. Step 2: Convert to fraction form
    14,547.61/21,780.74 = 7,860.14/x
  3. Step 3: Cross multiply
    14,547.61x = 21,780.74 × 7,860.14
  4. Step 4: Simplify right side
    14,547.61x = 171,199,739.81
  5. Step 5: Solve for x
    x = 171,199,739.81/14,547.61
  6. Step 6: Final answer
    x = 11,768.24

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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.