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Finding the Fourth Proportional to 15,345, 23,022.90 and 7,559.28

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Solution

The fourth proportional to 15,345, 23,022.90 and 7,559.28 is: 11,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345 : 23,022.90 = 7,559.28 : x
  2. Step 2: Convert to fraction form
    15,345/23,022.90 = 7,559.28/x
  3. Step 3: Cross multiply
    15,345x = 23,022.90 × 7,559.28
  4. Step 4: Simplify right side
    15,345x = 174,036,547.51
  5. Step 5: Solve for x
    x = 174,036,547.51/15,345
  6. Step 6: Final answer
    x = 11,341.58

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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.